lOMoARcPSD|25234260 Busc2112-basic-calculus-week-5-7-7101216 compress Calculus-Based Physics 1 (AMA Computer University) Studocu is not sponsored or endorsed by any college or university Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) lOMoARcPSD|25234260 2/18/2021 Performance Task 1 Home / My courses / BAED-BUSC2112-2022S / Week 7: Derivatives of Algebraic and Exponential Functions / Performance Task 1 Question 1 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. y = ( x2 ) Answer: 2 -1 Question 2 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y=x Answer: 1 Question 3 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1, b = 2, and c = 3. f (x) = Answer: 7x 3 − 3b c 2.33 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=662973&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/3 lOMoARcPSD|25234260 2/18/2021 Performance Task 1 Question 4 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. y = (5)(4x2 − 7)(6x2 − 1) Answer: 2920 Question 5 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. x f (x) = 2xe Answer: 0 Question 6 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. −− y = √− x + 5√5x Answer: 2.14 Question 7 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. Use 3.14 for the value of pi. – y = √2x + 3π − 12 Answer: 0.4 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=662973&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/3 lOMoARcPSD|25234260 2/18/2021 Performance Task 1 Question 8 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. −−−−−−−−− y = √− 4x2 − 6x + 1 − Answer: 3 −−− − 4√x+1 0.1434 Question 9 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = (3x)(4x2 − 5x + 1)3 Answer: 0 Question 10 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = 24(x3 + 6x) Answer: 3 8 24.00 ◄ Some Tips in Computing Derivatives Jump to... Week 008 - Higher Order Derivatives ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=662973&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/3 lOMoARcPSD|25234260 2/18/2021 Performance Task 1 Home / My courses / BAED-BUSC2112-2022S / Week 7: Derivatives of Algebraic and Exponential Functions / Performance Task 1 Question 1 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= 3 4 Answer: 5 − − √x2 − 6 − √x − +x 1 3 2.96 Question 2 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. 1 h(x) = 4x2 e x Answer: 10.87 Question 3 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. 1 y = 3x 4 − Answer: 1 3x 6 − − + 14√x5 12.75 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=663484&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/3 lOMoARcPSD|25234260 2/18/2021 Performance Task 1 Question 4 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. f (x) = ln(e x + e 2 Answer: x) −2 0 Question 5 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. G(x) = √−5−−x 2 Answer: 3134 Question 6 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1 and s = 2. Use 3.14 for the value of pi. f (x) = 5s + 3π − 12 Answer: 0 Question 7 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. h(x) = (log x )(3 x ) 2 Answer: 2 2 3 2285525343 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=663484&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/3 lOMoARcPSD|25234260 2/18/2021 Performance Task 1 Question 8 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. y= 4 (5)(6x−5) Answer: 10 -2.43 Question 9 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = (3x − 7)(x2 + 4x − 5) Answer: -24 Question 10 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= x2 −6x −−− − √x−3 Answer: 0.14344 ◄ Some Tips in Computing Derivatives Jump to... Week 008 - Higher Order Derivatives ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=663484&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/3 lOMoARcPSD|25234260 2/18/2021 Performance Task 1 Home / My courses / BAED-BUSC2112-2022S / Week 7: Derivatives of Algebraic and Exponential Functions / Performance Task 1 Question 1 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. −−−− y = (6x − 5)√− 8x − 3 Answer: 15.21 Question 2 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. −−−− y = 2 − √− 4 − 5x 3 Answer: 1.6 Question 3 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = 5x Answer: 1 5 − x− 2 7 5 − − + √x4 2.09 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=664194&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/3 lOMoARcPSD|25234260 2/18/2021 Performance Task 1 Question 4 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. – y = 3√5x + 6x2 − 23 x3 + 8 Answer: 16.71 Question 5 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. −−−− − g(x) = e√1−2x Answer: 1 Question 6 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = 5x−5 + 37 x−14 − 12x3 Answer: -67 Question 7 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. x y = (2x + 1) Answer: 5.30 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=664194&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/3 lOMoARcPSD|25234260 2/18/2021 Performance Task 1 Question 8 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= 3x+5 (2x−3) Answer: 3 -51 Question 9 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. x f (x) = 2xe Answer: 0 Question 10 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = 73x 2 Answer: −4x+5 9344.26 ◄ Some Tips in Computing Derivatives Jump to... Week 008 - Higher Order Derivatives ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=664194&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Home / My courses / BAED-BUSC2112-2022S / Week 7: Derivatives of Algebraic and Exponential Functions / Performance Task 1 Question 1 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. − y = √− x + 5√− 5x Answer: 2.14 Question 2 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y=x Answer: 1 Question 3 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. y = ( x2 )2 Answer: -1 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=665806&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Question 4 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. x) y = ( 2x4−3 )( 12− 2 Answer: 2.375 Question 5 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= 6 −− 7∗√x4 7 Answer: − 5x6 12 − 24 -2.99 Question 6 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. −−−− y = 2 − √− 4 − 5x 3 Answer: 1.6 Question 7 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= x2 +5 2x−3 Answer: -14 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=665806&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Question 8 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = (2x + 1)x Answer: 5.30 Question 9 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. y= e√2x+1 −−−− − √2x+1 Answer: 0.21 Question 10 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1 and a = 2. f (x) = Answer: x2 4 + x 5 − a 3 +7 0.7 ◄ Some Tips in Computing Derivatives Jump to... Week 008 - Higher Order Derivatives ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=665806&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Home / My courses / BAED-BUSC2112-2022S / Week 7: Derivatives of Algebraic and Exponential Functions / Performance Task 1 Question 1 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = (5x − 6)4 (2x + 3)5 Answer: -56250 Question 2 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. −−−−−−−−− y = √− 3x2 + 5x − 8 Answer: 2.27 Question 3 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. Use 3.14 for the value of pi. y = √–2x + 3π − 12 Answer: 0.4 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=665820&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Question 4 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= x + Answer: -20.02 5 4 x − √ 8 − x 3− √ 4 Question 5 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. y= x x 2 +5 2 −3 Answer: -14 Question 6 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. y = (5)(4x 2 Answer: x − 7)(6 2 − 1) 2920 Question 7 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. G(x) = √−5−−x 2 Answer: 3134 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=665820&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Question 8 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. y= 2x−1 x2 +2x+1 Answer: 0 Question 9 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= 3 4 Answer: 5 − − √x2 − 6 − √x + x− 1 3 2.96 Question 10 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= 3x+5 (2x−3) Answer: 3 -51 ◄ Some Tips in Computing Derivatives Jump to... Week 008 - Higher Order Derivatives ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=665820&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Home / My courses / BAED-BUSC2112-2022S / Week 7: Derivatives of Algebraic and Exponential Functions / Performance Task 1 Question 1 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = 24(x3 + 6x) Answer: 3 8 24.00 Question 2 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = 34 x4 − 3x5 − Answer: 2x6 3 -16 Question 3 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = 3x Answer: 1 4 − 1 3x 6 − − + 14√x5 12.75 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=665832&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Question 4 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= √ 3 Answer: −− −−−− 3x+4 2 ( 4x−3 ) -8.71 Question 5 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = 4x Answer: 4 Question 6 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. −−−− y = (6x − 5)√− 8x − 3 Answer: 15.21 Question 7 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= x2 −6x −−− − √x−3 Answer: 0.14344 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=665832&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Question 8 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. −− −−−−−− 2 −3x+1 g(x) = 3√x Answer: 3 Question 9 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. −−−−−−−−−− 3 y = √4x2 − 6x + 1 − 4√− −− − x+1 Answer: 0.14344 Question 10 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. Use 3.14 for the value of pi. y = x3 + 5x2 − 4π Answer: 13 ◄ Some Tips in Computing Derivatives Jump to... Week 008 - Higher Order Derivatives ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=665832&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Home / My courses / BAED-BUSC2112-2022S / Week 7: Derivatives of Algebraic and Exponential Functions / Performance Task 1 Question 1 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. y= 4 (5)(6x−5) Answer: 10 -2.43 Question 2 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = 3x Answer: 1 − 4 1 3x 6 − − + 14√x5 12.75 Question 3 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= 6 5x3 Answer: − 5x 4 − 1 3x3 -3.85 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=665860&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Question 4 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = 4x Answer: 4 Question 5 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. f (x) = (23x 4 Answer: )(5 x2 ) 461.47 Question 6 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. y = ( x2 )2 Answer: -1 Question 7 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = x6 + Answer: 1 2x 4 − − + 8√x3 11.50 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=665860&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Question 8 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. −−−− y = (6x − 5)√− 8x − 3 Answer: 15.21 Question 9 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. f (x) = ln(e2x + e−2x ) Answer: 2.00 Question 10 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= x2 −6x −−− − √x−3 Answer: 0.14344 ◄ Some Tips in Computing Derivatives Jump to... Week 008 - Higher Order Derivatives ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=665860&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Home / My courses / BAED-BUSC2112-2022S / Week 7: Derivatives of Algebraic and Exponential Functions / Performance Task 1 Question 1 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = (3x − 7)(x2 + 4x − 5) Answer: -24 Question 2 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= √ 3 Answer: −− −−−− 3x+4 2 ( 4x−3 ) -8.71 Question 3 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = 73x −4x+5 2 Answer: 9344.26 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=665865&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Question 4 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = 3√–5x + 6x2 − 23 x3 + 8 Answer: 16.71 Question 5 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. 6 y = 34 x4 − 3x5 − 2x3 Answer: -16 Question 6 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = √− 4−−−−−−−− 1 − 4√−x3−+1 x2 − 6x + − −− Answer: 0.14344 Question 7 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = x54 Answer: − 3− + √8x − √4x -20.02 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=665865&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Question 8 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. −−−− y = 2 − √− 4 − 5x 3 Answer: 1.6 Question 9 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1, b = 2, and c = 3. f (x) = Answer: 7x 3 − 3b c 2.33 Question 10 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= 1 2 Answer: 0 ◄ Some Tips in Computing Derivatives Jump to... Week 008 - Higher Order Derivatives ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=665865&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Home / My courses / BAED-BUSC2112-2022S / Week 7: Derivatives of Algebraic and Exponential Functions / Performance Task 1 Question 1 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = 34 x4 − 3x5 − Answer: 2x6 3 -16 Question 2 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. y = ( x2 )2 Answer: -1 Question 3 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1 and a = 2. f (x) = 2a Answer: 0 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=673328&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Question 4 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. f (x) = ln(e2x + e−2x ) Answer: 2.00 Question 5 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1 and s = 2. Use 3.14 for the value of pi. f (x) = 5s + 3π − 12 Answer: 0 Question 6 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= 5 x4 Answer: + − √x 8 − 3− √x 4 -20.02 Question 7 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. 4 y= (5)(6x−5) Answer: 10 -2.43 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=673328&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Question 8 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. x f (x) = 2xe Answer: 0 Question 9 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. 1 y = 3x 4 − Answer: 1 3x 6 − − + 14√x5 12.75 Question 10 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = 12 Answer: 0 ◄ Some Tips in Computing Derivatives Jump to... Week 008 - Higher Order Derivatives ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=673328&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Home / My courses / BAED-BUSC2112-2022S / Week 7: Derivatives of Algebraic and Exponential Functions / Performance Task 1 Question 1 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= 3 4 Answer: 5 − − √x2 − 6 − √x + x− 1 3 2.96 Question 2 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= 3x+5 (2x−3) Answer: 3 -51 Question 3 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. −−−− y = (6x − 5)√− 8x − 3 Answer: 15.21 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=673534&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Question 4 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. −−−−−−−−− y = √− 3x2 + 5x − 8 Answer: 2.27 Question 5 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. x y = ( 2x4−3 )( 12− ) 2 Answer: 2.38 Question 6 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. − y = √− x + 5√− 5x Answer: 4.31 Question 7 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. y= x2 +5 2x−3 Answer: -14 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=673534&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Question 8 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = (5x − 6)4 (2x + 3)5 Answer: -56250 Question 9 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. g(x) = 3 Answer: −−−−−−−− √x2 −3x+1 9.89 Question 10 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = (3x − 7)(x2 + 4x − 5) Answer: -24 ◄ Some Tips in Computing Derivatives Jump to... Week 008 - Higher Order Derivatives ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=673534&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Home / My courses / BAED-BUSC2112-2022S / Week 7: Derivatives of Algebraic and Exponential Functions / Performance Task 1 Question 1 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. 1 h(x) = 4x2 e x Answer: 10.87 Question 2 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. f (x) = (23x )(5x ) 4 Answer: 2 461.47 Question 3 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= x2 −6x −−− − √x−3 Answer: 0.14344 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=673687&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Question 4 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = 3√–5x + 6x2 − 23 x3 + 8 Answer: 16.71 Question 5 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = (2x + 1)x Answer: 5.30 Question 6 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = 6x − 12(4x2 − 3)2 Answer: -186 Question 7 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. Use 3.14 for the value of pi. y = x3 + 5x2 − 4π Answer: 13 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=673687&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/3 lOMoARcPSD|25234260 2/19/2021 Performance Task 1 Question 8 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y= x2 +5 2x−3 Answer: -8 Question 9 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 1. y = 24(x3 + 6x) Answer: 3 8 24.00 Question 10 Answer saved Marked out of 1.00 Compute for the derivative of the function below for x = 2. y = (5)(4x2 − 7)(6x2 − 1) Answer: 2920 ◄ Some Tips in Computing Derivatives Jump to... Week 008 - Higher Order Derivatives ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=673687&cmid=6965# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/3 lOMoARcPSD|25234260 2/8/2021 Long Quiz 001 Home / My courses / BAED-BUSC2112-2022S / Week 5: Derivative of Functions / Long Quiz 001 Question 1 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of x in the equation of the tangent line? y = x3 + 3; at(−1, 4) Answer: 0.14344 Question 2 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of y in the equation of the tangent line? y = 2x−2 ; at(1, 2) Answer: 6 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=591468&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/8 lOMoARcPSD|25234260 2/8/2021 Long Quiz 001 Question 3 Answer saved Marked out of 1.00 Is the given function continuous at x = 3? Select one: a. Yes, since the piecewise function is defined at x = 3. b. Yes, since the graphs of the sub-functions will meet at x = 3. c. No, since the piecewise function is undefined at x = 3. d. No, since the graphs of the sub-functions will not meet at x = 3. Clear my choice Question 4 Answer saved Marked out of 1.00 Evaluate the limit of: limy→−3 log2 3y 2 Answer: 4.75 Question 5 Answer saved Marked out of 1.00 Evaluate the limit of: limx→4 xx2 −64 −16 3 Answer: 6 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=591468&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/8 lOMoARcPSD|25234260 2/8/2021 Long Quiz 001 Question 6 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of x in the equation of the tangent line? y = x2 ; at(2, 4) Answer: -4 Question 7 Answer saved Marked out of 1.00 Evaluate the limit of: limx→1 Answer: x−1 − −− − √x+3 −2 0 Question 8 Answer saved Marked out of 1.00 Evaluate the limit of: limx→0 sin3x x The given angle is in radians. Answer: 3 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=591468&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/8 lOMoARcPSD|25234260 2/8/2021 Long Quiz 001 Question 9 Answer saved Marked out of 1.00 Evaluate the limit of: limx→2 log5 (4x3 + 5) Answer: 2.24358 Question 10 Answer saved Marked out of 1.00 Evaluate the limit of: limx→2 Answer: – − √x−√2 x−2 0.14344 Question 11 Answer saved Marked out of 1.00 Evaluate the limit of: limx→2 Answer: x2 +2x−8 5x−10 1.2 Question 12 Answer saved Marked out of 1.00 Evaluate the limit of: limx→3 log2 3x Answer: 3.17 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=591468&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 4/8 lOMoARcPSD|25234260 2/8/2021 Long Quiz 001 Question 13 Answer saved Marked out of 1.00 Evaluate the limit of: limx→0 Answer: − −− − √1+x−1 x 0 Question 14 Answer saved Marked out of 1.00 Evaluate the limit of: limx→0 cos x sin x−3 The given angle is in radians. Answer: -0.3 Question 15 Answer saved Marked out of 1.00 Evaluate the limit of: limx→3 (x2 + 7x − 5) Answer: 25 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=591468&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 5/8 lOMoARcPSD|25234260 2/8/2021 Long Quiz 001 Question 16 Answer saved Marked out of 1.00 Is the given function continuous for all real numbers? − 2 −− f (x) = √− x− +1 Select one: a. No, since the function's graph can only be generated using a table of values. b. No, since the function will be undefined for some values of x. c. Yes, since analytical methods can be used to graph the function. d. Yes, since the function will always be defined for any value of x. Clear my choice Question 17 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of y in the equation of the tangent line? x2 − y 2 Answer: = 7; at(4, −3) 2.3 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=591468&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 6/8 lOMoARcPSD|25234260 2/8/2021 Long Quiz 001 Question 18 Answer saved Marked out of 1.00 Is the given piecewise function continuous for the defined interval? Select one: a. No, since there are some values of x where the piecewise function is undefined. b. No, since the graphs of the sub-functions will not meet within the interval. c. Yes, since the graphs of the sub-functions will meet at a common point. d. Yes, since the piecewise function will always be defined for any value of x. Clear my choice Question 19 Answer saved Marked out of 1.00 Evaluate the limit of: limx→2 4x − 5 Answer: 3 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=591468&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 7/8 lOMoARcPSD|25234260 2/8/2021 Long Quiz 001 Question 20 Answer saved Marked out of 1.00 Is the given function continuous for all real numbers? f (x) = 2 x2 −x Select one: a. Yes, since the function is always defined for any real number. b. No, since the function cannot have some values in its domain. c. Yes, since the function can be graphed using analytical methods. d. No, since the function can only be graphed using a table of values. Clear my choice ◄ Equation of a Tangent Line Jump to... Week 006 Calculus I - Differentiation Formulas ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=591468&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 8/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Home / My courses / BAED-BUSC2112-2022S / Week 5: Derivative of Functions / Long Quiz 001 Question 1 Answer saved Marked out of 1.00 Evaluate the limit of: x x limx→2 (5 + 2 + 4) Answer: 33 Question 2 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of y in the equation of the tangent line? y = 2x−2 ; at(1, 2) Answer: 6 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=606182&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 3 Answer saved Marked out of 1.00 Is the given piecewise function continuous for the defined interval? Select one: a. Yes, since the graphs of the sub-functions will meet at x = 0. b. No, since the graphs of the sub-functions do not have a common point. c. Yes, since the piecewise function will always be defined within the interval. d. No, since there are some values of x where the piecewise function will be undefined. Clear my choice Question 4 Answer saved Marked out of 1.00 A wholesaler who sells a product by the kilo (or fraction of a kilo) charges PhP 100 per kg if 10 kilos or less are ordered. If more than 10 kg are ordered, the wholesaler charges PhP 1,000 plus PhP 70 for each kg in excess of 10 kg. Is there continuity with the function resulting from this selling strategy of the wholesaler? Select one: a. The resulting piecewise function is continuous since it will always be defined for any value of x. b. The resulting piecewise function is continuous since the graphs of its sub-functions will meet at a specific value of x. c. The resulting piecewise function is not continuous since the graphs of its sub-functions will not meet exactly at x = 10 kg. d. The resulting piecewise function is not continuous since there are restrictions to its domain values. Clear my choice shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=606182&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 5 Answer saved Marked out of 1.00 Is the given function continuous for all real numbers? x+4 f (x) = (x−1)(x+8) Select one: a. No, since the function will be undefined at both x = 1 and x = -8. b. Yes, since the function can be graphed using analytical methods. c. No, since the function will be undefined at x = 1 only. d. Yes, since the function will always be defined for any value of x. Clear my choice Question 6 Answer saved Marked out of 1.00 Evaluate the limit of: limx→0 Answer: − −− − √1+x−1 x 0 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=606182&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 7 Answer saved Marked out of 1.00 Is the given piecewise function continuous at x = 3? Select one: a. No, since the piecewise function will be undefined at x = 3. b. No, since the graphs of the sub-functions do not have a common point. c. Yes, since the piecewise function is defined at x = 3. d. Yes, since the graphs of the sub-functions meet at x = 3. Clear my choice Question 8 Answer saved Marked out of 1.00 Evaluate the limit of: 3 − −−−− limx→5 log3 √x2 + 4 Answer: 1.02168 Question 9 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of y in the equation of the tangent line? y = x2 + 4; at(−1, 5) Answer: 1 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=606182&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 4/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 10 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the value of the constant in the equation of the tangent line? y = 2x−2 ; at(1, 2) Answer: 6 Question 11 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the value of the constant in the equation of the tangent line? y = 1 − x3 ; at(2, −7) Answer: -12 Question 12 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of y in the equation of the tangent line? y = x2 ; at(2, 4) Answer: 1 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=606182&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 5/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 13 Answer saved Marked out of 1.00 Evaluate the limit of: limx→−2 Answer: x3 −x2 −x+10 x2 +3x+2 -15 Question 14 Answer saved Marked out of 1.00 Is the given function continuous at x = 0? −−−− − √x+16−4 f (x) = x Select one: a. No, since the function has a value of 0.13 at x = 0. b. Yes, since the function has a value of 0.13 at x = 0. c. Yes, since the function is defined at x = 0. d. No, since the function is undefined at x = 0. Clear my choice Question 15 Answer saved Marked out of 1.00 Evaluate the limit of: limx→3 Answer: x−3 − −− − − −− − √x−2 −√4−x 1 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=606182&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 6/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 16 Answer saved Marked out of 1.00 Evaluate the limit of: limx→3 ( Answer: −− √3x − −− − x√x+1 ) 0.5 Question 17 Answer saved Marked out of 1.00 Evaluate the limit of: limx→0 sec x−1 x The given angle is in radians. Answer: 0 Question 18 Answer saved Marked out of 1.00 Evaluate the limit of: −− limx→3 (x2 √− x− + 6) Answer: 27 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=606182&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 7/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 19 Answer saved Marked out of 1.00 Is the given function continuous at x = 4? f (x) = 1 x − 1 4 x−4 Select one: a. No, since the function is undefined at x = 4. b. Yes, since the function is defined at x = 4. c. Yes, since the value of the function at x = 4 is -0.06. d. No, since the value of the function at x = 4 is -0.06. Clear my choice Question 20 Answer saved Marked out of 1.00 Is the given function continuous at x = 3? Select one: a. No, since the piecewise function is undefined at x = 3. b. No, since the graphs of the sub-functions will not meet at x = 3. c. Yes, since the piecewise function is defined at x = 3. d. Yes, since the graphs of the sub-functions will meet at x = 3. Clear my choice ◄ Equation of a Tangent Line Jump to... Week 006 Calculus I - Differentiation Formulas ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=606182&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 8/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Home / My courses / BAED-BUSC2112-2022S / Week 5: Derivative of Functions / Long Quiz 001 Question 1 Answer saved Marked out of 1.00 Is the given function continuous at x = 1? f (x) = 2x2 − 3x + 1 Select one: a. No, since the function is undefined at x = 1. b. Yes, since the value of the function at x = 1 is 4. c. Yes, since the function is defined at x = 1. d. No, since the value of the function at x = 1 is 4. Clear my choice Question 2 Answer saved Marked out of 1.00 Is the given piecewise function continuous at x = 1? Select one: a. Yes, since the graphs of the sub-functions meet at x = 1. b. Yes, since the piecewise function is defined at x = 1. c. No, since the graphs of the sub-functions will not meet at x = 1. d. No, since the piecewise function is undefined at x = 1. Clear my choice shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=611616&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 3 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the value of the constant in the equation of the tangent line? y = 2 + x2 ; at(−1, 3) Answer: -2 Question 4 Answer saved Marked out of 1.00 Evaluate the limit of: limx→2 Answer: √ − −−− 3− x− +2x+3 2 x +5 1.29 Question 5 Answer saved Marked out of 1.00 What is the slope of the tangent line at the given point? y = x2 + 4; at(−1, 5) Answer: -2 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=611616&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 6 Answer saved Marked out of 1.00 Evaluate the limit of: lim →0 x 2 cot x csc x The given angle is in radians. Answer: 1 Question 7 Answer saved Marked out of 1.00 Evaluate the limit of: lim →1 √−−−+3−1−−2 x x x Answer: 0 Question 8 Answer saved Marked out of 1.00 Evaluate the limit of: −−−−−+4− lim →4 √3 2 2−3 2 − −1 x x x Answer: x x 0.67 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=611616&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 9 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of x in the equation of the tangent line? y = 2 + x2 ; at(−1, 3) Answer: 2 Question 10 Answer saved Marked out of 1.00 What is the slope of the tangent line at the given point? y = 2 + x2 ; at(−1, 3) Answer: -2 Question 11 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the value of the constant in the equation of the tangent line? y = 2x2 + 4x; at(−2, 0) Answer: -4 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=611616&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 4/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 12 Answer saved Marked out of 1.00 Is the piecewise function below continuous at x = -3 or not? Select one: a. The piecewise function is continuous at x = -3 since it is defined for the said value of x. b. The piecewise function is not continuous at x = -3 since the graphs of its sub-functions do not meet at this value of x. c. The piecewise function is continuous at x = -3 since the graphs of its sub-functions meet at this value of x. d. The piecewise function is not continuous at x = -3 since it is undefined for the said value of x. Clear my choice Question 13 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of y in the equation of the tangent line? y = x3 − 6x2 + 8x; at(3, −3) Answer: -1 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=611616&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 5/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 14 Answer saved Marked out of 1.00 Is the given function continuous at x = 5? f (x) = – − √x−√5 x−5 Select one: a. No, since the value of the function at x = 5 is 0.22. b. No, since the function is undefined at x = 5. c. Yes, since the value of the function at x = 5 is 0.22. d. Yes, since the function is defined at x = 5. Clear my choice Question 15 Answer saved Marked out of 1.00 Evaluate the limit of: limx→−1 3 Answer: −−−−−−−− √x2 −3x+1 6.71 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=611616&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 6/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 16 Answer saved Marked out of 1.00 Is the given piecewise function continuous for the defined interval? Select one: a. Yes, since the graphs of the sub-functions will meet at a common point. b. Yes, since the piecewise function will always be defined for any value of x. c. No, since the graphs of the sub-functions will not meet within the interval. d. No, since there are some values of x where the piecewise function is undefined. Clear my choice Question 17 Answer saved Marked out of 1.00 What is the value of the derivative for the given value of t? f (t) = (2t − 5)(3t + 4); whent = Answer: 1 2 -1 Question 18 Answer saved Marked out of 1.00 What is the slope of the tangent line at the given point? y = x3 − 6x2 + 8x; at(3, −3) Answer: -1 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=611616&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 7/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 19 Answer saved Marked out of 1.00 Is the given function continuous for all real numbers? f (x) = x3 − 6x2 − x + 30 Select one: a. Yes, since the function will always be defined for any value of x. b. Yes, since analytical methods can help generate the graph of the function. c. No, since the graph of the function can only be generated using a table of values. d. No, since there are some values of x where the function will be undefined. Clear my choice Question 20 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the value of the constant in the equation of the tangent line? y = 42 − 4x + 1; atx = 1 Answer: -4 ◄ Equation of a Tangent Line Jump to... Week 006 Calculus I - Differentiation Formulas ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=611616&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 8/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Home / My courses / BAED-BUSC2112-2022S / Week 5: Derivative of Functions / Long Quiz 001 Question 1 Answer saved Marked out of 1.00 Is the given piecewise function continuous at x = 0? Select one: a. No, since the piecewise function is undefined at x = 0. b. Yes, since the graphs of the sub-functions will meet at x = 0. c. No, since the graphs of the sub-functions will not meet at x = 0. d. Yes, since the piecewise function is defined at x = 0. Clear my choice Question 2 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of x in the equation of the tangent line? y = x3 − 6x2 + 8x; at(3, −3) Answer: 1 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=612169&cmid=6951#question-612187-10 Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/7 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 3 Answer saved Marked out of 1.00 Evaluate the limit of: limx→0 sin 5x 2x The given angle is in radians. Answer: 2.5 Question 4 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of x in the equation of the tangent line? y = x3 + 2x; atx = 0 Answer: 0 Question 5 Answer saved Marked out of 1.00 Evaluate the limit of: −−−−−−−− limx→−1 (x2 + 2)√x2 + x + 5 Answer: 6.71 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=612169&cmid=6951#question-612187-10 Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/7 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 6 Answer saved Marked out of 1.00 Evaluate the limit of: limx→1 (x2 + 3x − 4) Answer: 0 Question 7 Answer saved Marked out of 1.00 What is the value of the derivative for the given value of t? f (t) = (t3 − 2t + 1)(2t2 + 3t); t = −3 Answer: 405 Question 8 Answer saved Marked out of 1.00 Evaluate the limit of: limx→2 Answer: √ − −−− 3− x− +2x+3 x2 +5 1.29099 Question 9 Answer saved Marked out of 1.00 Evaluate the limit of: 3− √x−1 limx→1 x−1 Answer: 0.3 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=612169&cmid=6951#question-612187-10 Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/7 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 10 Answer saved Marked out of 1.00 What is the value of the derivative for the given value of x? y = x35 ; whenx = 1 Answer: 35 Question 11 Answer saved Marked out of 1.00 Evaluate the limit of: limx→2 ( Answer: x+3 ) x2 +x+5 0.45 Question 12 Answer saved Marked out of 1.00 Evaluate the limit of: limx→√–2 Answer: 2x2 −3x+6 x2 +2 1.44 Question 13 Answer saved Marked out of 1.00 What is the value of the derivative for the given value of x? y = x3 − 3x2 + 5x − 2; x = 7 Answer: 110 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=612169&cmid=6951#question-612187-10 Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 4/7 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 14 Answer saved Marked out of 1.00 Is the given function continuous at x = -3? Select one: a. Yes, since the graphs of the sub-functions will meet at x = -3. b. Yes, since the piecewise function is defined at x = -3. c. No, since the graphs of the sub-functions will not meet at x = -3. d. No, since the piecewise function is undefined at x = -3. Clear my choice Question 15 Answer saved Marked out of 1.00 Evaluate the limit of: limx→2 Answer: x2 −6x+8 x3 −4 0 Question 16 Answer saved Marked out of 1.00 What is the slope of the tangent line at the given point? y = 2x−2 ; at(1, 2) Answer: -4 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=612169&cmid=6951#question-612187-10 Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 5/7 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 17 Answer saved Marked out of 1.00 Evaluate the limit of: −−−−−−−−− limx→−2 √x2 + 2x + 8 Answer: 2.83 Question 18 Answer saved Marked out of 1.00 Is the given function continuous for x greater than -2? f (x) = 2x3 + 5x2 − 7 Select one: a. No, since the function can only be graphed using a table of values. b. No, since the function will be undefined for some values of x. c. Yes, since the function can be graphed using analytical methods. d. Yes, since the function will always be defined for any value of x. Clear my choice Question 19 Answer saved Marked out of 1.00 What is the value of the derivative for the given value of t? f (t) = (2t − 5)(3t + 4); whent = Answer: 1 2 -1 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=612169&cmid=6951#question-612187-10 Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 6/7 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 20 Answer saved Marked out of 1.00 Is the given piecewise function continuous at x = 0? Select one: a. Yes, since the piecewise function is defined at x = 0. b. No, since the graphs of the sub-functions will not meet at x = 0. c. Yes, since the graphs of the sub-functions meet at x = 0. d. No, since the piecewise function is undefined at x = 0. Clear my choice ◄ Equation of a Tangent Line Jump to... Week 006 Calculus I - Differentiation Formulas ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=612169&cmid=6951#question-612187-10 Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 7/7 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Home / My courses / BAED-BUSC2112-2022S / Week 5: Derivative of Functions / Long Quiz 001 Question 1 Answer saved Marked out of 1.00 Evaluate the limit of: −− 2 limx→3 [log(√3x )] Answer: 0.23 Question 2 Answer saved Marked out of 1.00 Evaluate the limit of: limx→− (x2 + 4x − 1)(x − 5) 1 3 Answer: 11.85 Question 3 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the value of the constant in the equation of the tangent line? y = 3x − 7; atx = −14 Answer: 3 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=612779&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 4 Answer saved Marked out of 1.00 Evaluate the limit of: 3 − −−−− limx→5 log3 √x2 + 4 Answer: 1.02 Question 5 Answer saved Marked out of 1.00 Evaluate the limit of: 3− √x−1 limx→1 x−1 Answer: 0.3 Question 6 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of x in the equation of the tangent line? y = 2x2 + 4x; at(−2, 0) Answer: 8 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=612779&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 7 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of y in the equation of the tangent line? y = 2 + x2 ; at(−1, 3) Answer: 1 Question 8 Answer saved Marked out of 1.00 Is the given function continuous at x = 1? f (x) = 2x2 − 3x + 1 Select one: a. Yes, since the value of the function at x = 1 is 4. b. No, since the value of the function at x = 1 is 4. c. Yes, since the function is defined at x = 1. d. No, since the function is undefined at x = 1. Clear my choice Question 9 Answer saved Marked out of 1.00 What is the slope of the tangent line at the given point? y = x2 − 1; at(2, 3) Answer: 4 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=612779&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 10 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of x in the equation of the tangent line? y = x2 ; at(2, 4) Answer: -4 Question 11 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of y in the equation of the tangent line? y = x2 − 1; at(2, 3) Answer: 4 Question 12 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the value of the constant in the equation of the tangent line? y = x3 + 3; at(1, 4) Answer: 3 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=612779&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 4/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 13 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the value of the constant in the equation of the tangent line? y = 2x−2 ; at(1, 2) Answer: 6 Question 14 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of y in the equation of the tangent line? y = x2 + 4; at(−1, 5) Answer: 1 Question 15 Answer saved Marked out of 1.00 Evaluate the limit of: limy→−3 log2 3y 2 Answer: 4.75 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=612779&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 5/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 16 Answer saved Marked out of 1.00 A wholesaler who sells a product by the kilo (or fraction of a kilo) charges PhP 100 per kg if 10 kilos or less are ordered. If more than 10 kg are ordered, the wholesaler charges PhP 1,000 plus PhP 70 for each kg in excess of 10 kg. Is there continuity with the function resulting from this selling strategy of the wholesaler? Select one: a. The resulting piecewise function is not continuous since the graphs of its sub-functions will not meet exactly at x = 10 kg. b. The resulting piecewise function is continuous since it will always be defined for any value of x. c. The resulting piecewise function is not continuous since there are restrictions to its domain values. d. The resulting piecewise function is continuous since the graphs of its sub-functions will meet at a specific value of x. Clear my choice Question 17 Answer saved Marked out of 1.00 Evaluate the limit of: 1 1 x−4 limx→4 x−4 Answer: -0.08 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=612779&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 6/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 18 Answer saved Marked out of 1.00 Is the given function continuous at x = 1? f (x) = x2 −1 x−1 Select one: a. No, since the function is undefined at x = 1. b. No, since the function has a value of 2 at x = 1. c. Yes, since the function is defined at x = 1. d. Yes, since the function has a value of 2 at x = 1. Clear my choice Question 19 Answer saved Marked out of 1.00 Is the given piecewise function continuous at x = 0? Select one: a. No, since the graphs of the sub-functions will not meet at x = 0. b. Yes, since the piecewise function in defined at x = 0. c. No, since the piecewise function is undefined at x = 0. d. Yes, since the graphs of the sub-functions will meet at x = 0. Clear my choice shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=612779&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 7/8 lOMoARcPSD|25234260 2/10/2021 Long Quiz 001 Question 20 Answer saved Marked out of 1.00 What is the slope of the tangent line at the given point? y = 2x−2 ; at(1, 2) Answer: -4 ◄ Equation of a Tangent Line Jump to... Week 006 Calculus I - Differentiation Formulas ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=612779&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 8/8 lOMoARcPSD|25234260 2/11/2021 Long Quiz 001 Home / My courses / BAED-BUSC2112-2022S / Week 5: Derivative of Functions / Long Quiz 001 Question 1 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the value of the constant in the equation of the tangent line? y = x2 − 1; at(2, 3) Answer: -5 Question 2 Answer saved Marked out of 1.00 What is the largest interval (or union of intervals) on which the function below is continuous? f (x) = √ −−−−− 25−x2 x−3 Select one: a. The interval from negative 5 up to positive 5. b. The interval that includes negative 5, positive 3, and positive 5. c. The interval that excludes negative 5, positive 3, and positive 5. d. The interval from negative 5 up to positive 5, without 3. Clear my choice shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=615229&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/8 lOMoARcPSD|25234260 2/11/2021 Long Quiz 001 Question 3 Answer saved Marked out of 1.00 Is the given function continuous for x greater than or equal to 1? −− f (x) = x2 √− x− +6 Select one: a. Yes, since the function can be graphed using analytical methods. b. No, since the function will be undefined for some values of x. c. Yes, since the function will always be defined for any value of x. d. No, since the function can be graphed using a table of values only. Clear my choice Question 4 Answer saved Marked out of 1.00 Evaluate the limit of: limx→2 ( Answer: x+3 ) x2 +x+5 0.45 Question 5 Answer saved Marked out of 1.00 Evaluate the limit of: √ (limx→2 ) Answer: − − −2 x 5 25 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=615229&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/8 lOMoARcPSD|25234260 2/11/2021 Long Quiz 001 Question 6 Answer saved Marked out of 1.00 What is the value of the derivative for the given value of x? f (x) = x4 − 5 + x−2 + 4x−4 ; x = −1 Answer: 14 Question 7 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of y in the equation of the tangent line? y = 1 − x3 ; at(2, −7) Answer: -7 Question 8 Answer saved Marked out of 1.00 Check the continuity of the piecewise function below for x = 3 and x = -3. Select one: a. The piecewise function is not continuous at both at x = 3 and x = -3 since it is undefined for the said values of x. b. The piecewise function is continuous at x = 3 since it is defined for this value of x. However, it is not continuous at x = -3 since it is undefined for the said value of the domain. c. The piecewise function is continuous at both at x = 3 and x = -3 since it is defined for the said values of x. d. The piecewise function is continuous at x = -3 since it is defined for this value of the domain. However, it is not continuous at x = 3 since it is undefined for the said value of x. Clear my choice shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=615229&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/8 lOMoARcPSD|25234260 2/11/2021 Long Quiz 001 Question 9 Answer saved Marked out of 1.00 What is the slope of the tangent line at the given point? y = 2 + x2 ; at(−1, 3) Answer: -2 Question 10 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the value of the constant in the equation of the tangent line? y = 1 − x3 ; at(2, −7) Answer: -12 Question 11 Answer saved Marked out of 1.00 Evaluate the limit of: limx→ 1 (x + 2)(x2 − 3x + 1) 2 Answer: -0.625 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=615229&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 4/8 lOMoARcPSD|25234260 2/11/2021 Long Quiz 001 Question 12 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of x in the equation of the tangent line? x2 − y 2 Answer: = 7; at(4, −3) 0 Question 13 Answer saved Marked out of 1.00 Is the given function continuous at x = 1? f (x) = 1 x−1 Select one: a. Yes, since the function is defined at x = 1. b. No, since the value of the function at x = 1 is 1 over 0. c. Yes, since the value of the function at x = 1 is 1 over 0. d. No, since the function is undefined at x = 1. Clear my choice Question 14 Answer saved Marked out of 1.00 What is the slope of the tangent line at the given point? y = x3 − 6x2 + 8x; at(3, −3) Answer: -1 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=615229&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 5/8 lOMoARcPSD|25234260 2/11/2021 Long Quiz 001 Question 15 Answer saved Marked out of 1.00 Evaluate the limit of: limx→2 Answer: √ − − x− −1 x+2 0.5 Question 16 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the value of the constant in the equation of the tangent line? y = 42 − 4x + 1; atx = 1 Answer: 1 Question 17 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the value of the constant in the equation of the tangent line? y = x3 − 6x2 + 8x; at(3, −3) Answer: 3 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=615229&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 6/8 lOMoARcPSD|25234260 2/11/2021 Long Quiz 001 Question 18 Answer saved Marked out of 1.00 Is the function below continuous at x = 3? f (x) = x2 +4x+3 x+3 Select one: a. The function is continuous at x = 3 since it has a value of 4 upon substituting x with 3. b. The function is not continuous at x = 3 since it has no value at the said value of x. c. The function is continuous at x = 3 since it can be graphed using a single line. d. The function is continuous at x = 3 since it will yield a defined value at the said value of x. Clear my choice Question 19 Answer saved Marked out of 1.00 What is the value of the derivative for the given value of x? f (x) = 6x5 + 3x4 − 2x3 + 5x2 − 8x + 9; x = −2 Answer: 332 Question 20 Answer saved Marked out of 1.00 Evaluate the limit of: limx→−2 Answer: x3 −x2 −x+10 x2 +3x+2 -15 ◄ Equation of a Tangent Line Jump to... Week 006 Calculus I - Differentiation Formulas ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=615229&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 7/8 lOMoARcPSD|25234260 2/11/2021 Long Quiz 001 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=615229&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 8/8 lOMoARcPSD|25234260 2/12/2021 Long Quiz 001 Home / My courses / BAED-BUSC2112-2022S / Week 5: Derivative of Functions / Long Quiz 001 Question 1 Answer saved Marked out of 1.00 Evaluate the limit of: limx→4 (log2 3 + log2 Answer: x2 ) 5.58 Question 2 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of x in the equation of the tangent line? y = x2 + 4; at(−1, 5) Answer: -1 Question 3 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of x in the equation of the tangent line? y = 2x−2 ; at(1, 2) Answer: -1 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=624464&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/8 lOMoARcPSD|25234260 2/12/2021 Long Quiz 001 Question 4 Answer saved Marked out of 1.00 Is the given function continuous for all real numbers? − 2 −− f (x) = √− x− +1 Select one: a. Yes, since the function will always be defined for any value of x. b. Yes, since analytical methods can be used to graph the function. c. No, since the function will be undefined for some values of x. d. No, since the function's graph can only be generated using a table of values. Clear my choice Question 5 Answer saved Marked out of 1.00 Evaluate the limit of: limx→0 sin3x x The given angle is in radians. Answer: 3 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=624464&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/8 lOMoARcPSD|25234260 2/12/2021 Long Quiz 001 Question 6 Answer saved Marked out of 1.00 Is the given function continuous at x = 5? f (x) = – − √x−√5 x−5 Select one: a. No, since the value of the function at x = 5 is 0.22. b. Yes, since the function is defined at x = 5. c. No, since the function is undefined at x = 5. d. Yes, since the value of the function at x = 5 is 0.22. Clear my choice Question 7 Answer saved Marked out of 1.00 Evaluate the limit of: limx→ π 4 sin x+cos x tan x The given angle is in radians. Answer: 1.41 Question 8 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of y in the equation of the tangent line? y = 2x−2 ; at(1, 2) Answer: 1 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=624464&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/8 lOMoARcPSD|25234260 2/12/2021 Long Quiz 001 Question 9 Answer saved Marked out of 1.00 What is the value of the derivative for the given value of x? y = (4.34)x2 + (0.98)x; whenx = −4 Answer: -33.74 Question 10 Answer saved Marked out of 1.00 Is the given piecewise function continuous for the defined interval? Select one: a. No, since the graphs of the sub-functions will not meet. b. Yes, since the piecewise function will always be defined for any value of x. c. Yes, since the graphs of the sub-functions have a common point. d. No, since the piecewise function will be undefined for some values of x. Clear my choice shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=624464&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 4/8 lOMoARcPSD|25234260 2/12/2021 Long Quiz 001 Question 11 Answer saved Marked out of 1.00 Is the given piecewise function continuous for the defined interval? Select one: a. Yes, since the graphs of the sub-functions will meet at x = 0. b. No, since there are some values of x where the piecewise function will be undefined. c. No, since the graphs of the sub-functions do not have a common point. d. Yes, since the piecewise function will always be defined within the interval. Clear my choice Question 12 Answer saved Marked out of 1.00 Is the given piecewise function continuous for the defined interval? Select one: a. Yes, since the graphs of the sub-functions will meet at some points within the interval. b. Yes, since the piecewise function is defined for all values within the interval. c. No, since the graphs of the sub-functions will not meet within the interval. d. No, since the piecewise function is undefined for some values within the interval. Clear my choice shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=624464&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 5/8 lOMoARcPSD|25234260 2/12/2021 Long Quiz 001 Question 13 Answer saved Marked out of 1.00 Evaluate the limit of: limx→3 log2 3x Answer: 3.17 Question 14 Answer saved Marked out of 1.00 Consider the function below. Is this continuous for all real numbers? 1 f (x) = x−2 Select one: a. The function is continuous since it can yield both positive and negative values. b. The function is not continuous for all real numbers since there are restrictions for its domain values. c. The function is not continuous for all real numbers since it can yield negative values. d. The function is not continuous since its graph is aysmptotic to the x-axis. Clear my choice Question 15 Answer saved Marked out of 1.00 Evaluate the limit of: x2 −1 limx→1 x−1 Answer: 2 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=624464&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 6/8 lOMoARcPSD|25234260 2/12/2021 Long Quiz 001 Question 16 Answer saved Marked out of 1.00 Evaluate the limit of: limt→0 sint22 3t The given angle is in radians. Answer: 9 Question 17 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of y in the equation of the tangent line? y = 42 − 4x + 1; atx = 1 Answer: 1 Question 18 Answer saved Marked out of 1.00 Is the given piecewise function continuous at x = -2? Select one: a. Yes, since the piecewise function is defined at x = -2. b. No, since the piecewise function is undefined at x = -2. c. Yes, since the graphs of the sub-functions will meet at x = -2. d. No, since the graphs of the sub-functions will not meet at x = -2. Clear my choice shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=624464&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 7/8 lOMoARcPSD|25234260 2/12/2021 Long Quiz 001 Question 19 Answer saved Marked out of 1.00 Is the given piecewise function continuous at x = 0? Select one: a. No, since the piecewise function is undefined at x = 0. b. No, since the graphs of the sub-functions will not meet at x = 0. c. Yes, since the piecewise function is defined at x = 0. d. Yes, since the graphs of the sub-functions will meet at x = 0. Clear my choice Question 20 Answer saved Marked out of 1.00 What is the value of the derivative for the given value of t? f (t) = Answer: 1 6t3 ;t = 5 -0.0008 ◄ Equation of a Tangent Line Jump to... Week 006 Calculus I - Differentiation Formulas ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=624464&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 8/8 lOMoARcPSD|25234260 2/13/2021 Long Quiz 001 Home / My courses / BAED-BUSC2112-2022S / Week 5: Derivative of Functions / Long Quiz 001 Question 1 Answer saved Marked out of 1.00 Is the given function continuous at x = 0? f (x) = −−−− − √x+16−4 x Select one: a. Yes, since the function is defined at x = 0. b. Yes, since the function has a value of 0.13 at x = 0. c. No, since the function is undefined at x = 0. d. No, since the function has a value of 0.13 at x = 0. Clear my choice Question 2 Answer saved Marked out of 1.00 Check the continuity of the piecewise function below for x = 3 and x = -3. Select one: a. The piecewise function is continuous at x = 3 since it is defined for this value of x. However, it is not continuous at x = -3 since it is undefined for the said value of the domain. b. The piecewise function is continuous at both at x = 3 and x = -3 since it is defined for the said values of x. c. The piecewise function is continuous at x = -3 since it is defined for this value of the domain. However, it is not continuous at x = 3 since it is undefined for the said value of x. d. The piecewise function is not continuous at both at x = 3 and x = -3 since it is undefined for the said values of x. Clear my choice shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=630926&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/8 lOMoARcPSD|25234260 2/13/2021 Long Quiz 001 Question 3 Answer saved Marked out of 1.00 Is the given function continuous at x = 5? f (x) = – − √x−√5 x−5 Select one: a. No, since the value of the function at x = 5 is 0.22. b. Yes, since the function is defined at x = 5. c. Yes, since the value of the function at x = 5 is 0.22. d. No, since the function is undefined at x = 5. Clear my choice Question 4 Answer saved Marked out of 1.00 Evaluate the limit of: limx→4 (log2 3 + log2 Answer: x2 ) 5.58 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=630926&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/8 lOMoARcPSD|25234260 2/13/2021 Long Quiz 001 Question 5 Answer saved Marked out of 1.00 Is the given function continuous at x = 4? f (x) = 1 x− 1 4 x−4 Select one: a. Yes, since the value of the function at x = 4 is -0.06. b. Yes, since the function is defined at x = 4. c. No, since the function is undefined at x = 4. d. No, since the value of the function at x = 4 is -0.06. Clear my choice Question 6 Answer saved Marked out of 1.00 What is the slope of the tangent line at the given point? y = 2x−2 ; at(1, 2) Answer: -4 Question 7 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of y in the equation of the tangent line? y = 2 + x2 ; at(−1, 3) Answer: 1 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=630926&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/8 lOMoARcPSD|25234260 2/13/2021 Long Quiz 001 Question 8 Answer saved Marked out of 1.00 Evaluate the limit of: −− 2 limx→3 [log(√3x )] Answer: 0.23 Question 9 Answer saved Marked out of 1.00 What is the slope of the tangent line at the given point? y = x3 + 3; at(1, 4) Answer: 3 Question 10 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of x in the equation of the tangent line? y = 2x2 + 4x; at(−2, 0) Answer: -4 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=630926&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 4/8 lOMoARcPSD|25234260 2/13/2021 Long Quiz 001 Question 11 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the value of the constant in the equation of the tangent line? y = x3 + 2x; atx = 0 Answer: 0 Question 12 Answer saved Marked out of 1.00 Evaluate the limit of: 3 − −−−− limx→5 log3 √x2 + 4 Answer: 1.02 Question 13 Answer saved Marked out of 1.00 What is the value of the derivative for the given value of x? y = (4.34)x2 + (0.98)x; whenx = −4 Answer: -33.74 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=630926&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 5/8 lOMoARcPSD|25234260 2/13/2021 Long Quiz 001 Question 14 Answer saved Marked out of 1.00 What is the slope of the tangent line at the given point? y = 9 − x2 ; at(2, 5) Answer: -4 Question 15 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the value of the constant in the equation of the tangent line? y = x2 − 1; at(2, 3) Answer: 4 Question 16 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of y in the equation of the tangent line? y = x2 − 6x + 9; at(3, 0) Answer: 0 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=630926&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 6/8 lOMoARcPSD|25234260 2/13/2021 Long Quiz 001 Question 17 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of x in the equation of the tangent line? y = x2 + 4; at(−1, 5) Answer: -1 Question 18 Answer saved Marked out of 1.00 Evaluate the limit of: limx→−1 3 Answer: −−−−−−−− √x2 −3x+1 6.71 Question 19 Answer saved Marked out of 1.00 What is the value of the derivative for the given value of r? \(\Large f(r) = \frac {4}{3} \pi r^3; r = 6 Answer: 4 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=630926&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 7/8 lOMoARcPSD|25234260 2/13/2021 Long Quiz 001 Question 20 Answer saved Marked out of 1.00 Evaluate the limit of: limx→2 x2x−63−4x+8 Answer: 0 ◄ Equation of a Tangent Line Jump to... Week 006 Calculus I - Differentiation Formulas ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=630926&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 8/8 lOMoARcPSD|25234260 2/18/2021 Long Quiz 001 Home / My courses / BAED-BUSC2112-2022S / Week 5: Derivative of Functions / Long Quiz 001 Question 1 Answer saved Marked out of 1.00 Evaluate the limit of: x−3 limx→3 √− −−− −−−− x−−2 √4−x Answer: 1 Question 2 Answer saved Marked out of 1.00 Is the given piecewise function continuous at x = 2? Select one: a. Yes, since the piecewise function has a value at x = 2. b. No, since the graphs of the sub-functions will not meet at x = 2. c. Yes, since the graphs of the sub-functions will meet at x = 2. d. No, since the sub-function already defined that the function is undefined at x = 2. Clear my choice shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=657662&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 1/8 lOMoARcPSD|25234260 2/18/2021 Long Quiz 001 Question 3 Answer saved Marked out of 1.00 Evaluate the limit of: limx→3 ( Answer: −− √3x − − − x√x−+1 ) 0.5 Question 4 Answer saved Marked out of 1.00 What is the slope of the tangent line at the given point? y = x3 − 6x2 + 8x; at(3, −3) Answer: -1 Question 5 Answer saved Marked out of 1.00 What is the slope of the tangent line at the given point? y = x2 ; at(2, 4) Answer: 4 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=657662&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 2/8 lOMoARcPSD|25234260 2/18/2021 Long Quiz 001 Question 6 Answer saved Marked out of 1.00 Evaluate the limit of: limt→0 sin2 3t t2 The given angle is in radians. Answer: 9 Question 7 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of x in the equation of the tangent line? x2 − y 2 Answer: = 7; at(4, −3) 0 Question 8 Answer saved Marked out of 1.00 Find the general equation of the line tangent to the equation below at the given point. What is the coefficient of y in the equation of the tangent line? y = 42 − 4x + 1; atx = 1 Answer: 1 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=657662&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 3/8 lOMoARcPSD|25234260 2/18/2021 Long Quiz 001 Question 9 Answer saved Marked out of 1.00 Is the given function continuous at x = 4? f (x) = x2 −4 x−2 Select one: a. Yes, since the function is defined at x = 4. b. Yes, since the value of the function at x = 4 is 6. c. No, since the value of the function at x = 4 is 6. d. No, since the function is not defined at x = 4. Clear my choice Question 10 Answer saved Marked out of 1.00 What is the value of the derivative for the given value of x? f (x) = 1 − 2x − x2 ; atx = 4 Answer: -10 Question 11 Answer saved Marked out of 1.00 What is the value of the derivative for the given value of x? f (x) = 13 x3 − x + 2; x = 3 Answer: 0.3 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=657662&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 4/8 lOMoARcPSD|25234260 2/18/2021 Long Quiz 001 Question 12 Answer saved Marked out of 1.00 Evaluate the limit of: −−−−−−−− limx→−1 (x2 + 2)√x2 + x + 5 Answer: 6. 71 Question 13 Answer saved Marked out of 1.00 Evaluate the limit of: limx→0 sec x−1 x The given angle is in radians. Answer: 0 Question 14 Answer saved Marked out of 1.00 Evaluate the limit of: limy→−3 log2 3y 2 Answer: 4.75 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=657662&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 5/8 lOMoARcPSD|25234260 2/18/2021 Long Quiz 001 Question 15 Answer saved Marked out of 1.00 Evaluate the limit of: limz→4 log Answer: √zz 5 − −−− 4−3 2 +1 0.14344 Question 16 Answer saved Marked out of 1.00 Evaluate the limit of: −−−− limx→3 (x2 √x + 6 ) Answer: 27 Question 17 Answer saved Marked out of 1.00 Evaluate the limit of: limx→2 Answer: – − √x−√2 x−2 0.14344 shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=657662&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 6/8 lOMoARcPSD|25234260 2/18/2021 Long Quiz 001 Question 18 Answer saved Marked out of 1.00 What is the value of the derivative for the given value of x? f (x) = Answer: x3 3 + 3 x3 ;x = 2 0 Question 19 Answer saved Marked out of 1.00 Is the given function continuous for all real numbers? − 2 −− f (x) = √− x− +1 Select one: a. Yes, since analytical methods can be used to graph the function. b. No, since the function will be undefined for some values of x. c. No, since the function's graph can only be generated using a table of values. d. Yes, since the function will always be defined for any value of x. Clear my choice shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=657662&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 7/8 lOMoARcPSD|25234260 2/18/2021 Long Quiz 001 Question 20 Answer saved Marked out of 1.00 Is the given function continuous for all real numbers? f (x) = 2 x2 −x Select one: a. Yes, since the function is always defined for any real number. b. No, since the function cannot have some values in its domain. c. Yes, since the function can be graphed using analytical methods. d. No, since the function can only be graphed using a table of values. Clear my choice ◄ Equation of a Tangent Line Jump to... Week 006 Calculus I - Differentiation Formulas ► shsf.amaesonline.com/2022/mod/quiz/attempt.php?attempt=657662&cmid=6951# Downloaded by Kaizer Delo santos (kaizerdelosantos26@gmail.com) 8/8