MATH 104-184 Quiz #3
October 22
Grade:
First Name:
Last Name:
Student-No:
Section:
Very short answer questions
1. 2 marks Each part is worth 1 mark. Please write your answers in the boxes.
(a) Differentiate y = 2x cos x.
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Answer:
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(b) The cost function is given by C(q) = q 2 + 2q + 3. Estimate the cost of producing the 10th
unit.
Answer:
Short answer questions — you must show your work
2. 4 marks Each part is worth 2 marks.
Answer:
Pr
ac
(a) Find the derivative of the function g(x) = cos[sin(x3 )].
(b) Find the slope of the tangent line to 2x3 + 4xy + 2y 3 = 8 at the point (1, 1)
Answer:
Long answer question — you must show your work
2
3. 4 marks Determine where the tangent line to h(x) = xln(x ) is horizontal.
Pr
ac
tic
e
Q
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Answer:
MATH 104-184 Quiz #3
October 22
Grade:
First Name:
Last Name:
Student-No:
Section:
Very short answer questions
1. 2 marks Each part is worth 1 mark. Please write your answers in the boxes.
(a) Differentiate y = 3x sin x.
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z
Answer:
tic
e
Q
(b) The cost function is given by C(q) = q 2 + 3q + 2. Estimate the cost of producing the 12th
unit.
Answer:
Short answer questions — you must show your work
2. 4 marks Each part is worth 2 marks.
Answer:
Pr
ac
(a) Find the derivative of the function g(x) = cos[cos(x3 )].
(b) Find the slope of the tangent line to 2x3 + 3xy + 2y 3 = 7 at the point (1, 1)
Answer:
Long answer question — you must show your work
3
3. 4 marks Determine where the tangent line to h(x) = xln(x ) is horizontal.
Pr
ac
tic
e
Q
ui
z
Answer:
MATH 104-184 Quiz #3
October 22
Grade:
First Name:
Last Name:
Student-No:
Section:
Very short answer questions
1. 2 marks Each part is worth 1 mark. Please write your answers in the boxes.
(a) Differentiate y = 4x cos x.
ui
z
Answer:
tic
e
Q
(b) The cost function is given by C(q) = q 2 + 2q + 3. Estimate the cost of producing the 13th
unit.
Answer:
Short answer questions — you must show your work
2. 4 marks Each part is worth 2 marks.
Answer:
Pr
ac
(a) Find the derivative of the function g(x) = sin[cos(x3 )].
(b) Find the slope of the tangent line to 5x3 + 3xy + 2y 3 = 10 at the point (1, 1)
Answer:
Long answer question — you must show your work
4
3. 4 marks Determine where the tangent line to h(x) = xln(x ) is horizontal.
Pr
ac
tic
e
Q
ui
z
Answer:
MATH 104-184 Quiz #3
October 22
Grade:
First Name:
Last Name:
Student-No:
Section:
Very short answer questions
1. 2 marks Each part is worth 1 mark. Please write your answers in the boxes.
(a) Differentiate y = 5x cos x.
ui
z
Answer:
tic
e
Q
(b) The cost function is given by C(q) = q 2 + 2q + 34. Estimate the cost of producing the
17th unit.
Answer:
Short answer questions — you must show your work
2. 4 marks Each part is worth 2 marks.
Answer:
Pr
ac
(a) Find the derivative of the function g(x) = sin[sin(x3 )].
(b) Find the slope of the tangent line to 2x3 + 7xy + 2y 3 = 12 at the point (1, 1)
Answer:
Long answer question — you must show your work
5
3. 4 marks Determine where the tangent line to h(x) = xln(x ) is horizontal.
Pr
ac
tic
e
Q
ui
z
Answer: