MATH 104-184 Quiz #3
October 23
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 = cos(ex ).
ui
z
Answer:
Q
(b) The cost function is given by C(q) = 2q 2 + 7q + 330. Estimate the cost of producing the
10th unit.
Answer:
e
Short answer questions — you must show your work
2. 4 marks Each part is worth 2 marks.
Answer:
Pr
ac
tic
(a) Find the slope of the tangent line to 3x + sin(xy) + y 3 = 9 at the point (0, 2)
√
(b) Find the derivative of the function g(x) = sin3 ( 3 x).
Answer:
Long answer question — you must show your work
3. 4 marks Determine the point(s) where the tangent line to
h(x) = x3/x , x > 0
is horizontal.
Pr
ac
tic
e
Q
ui
z
Answer:
MATH 104-184 Quiz #3
October 23
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 = sin(ex ).
ui
z
Answer:
Q
(b) The cost function is given by C(q) = 4q 2 + 8q + 330. Estimate the cost of producing the
7th unit.
Answer:
e
Short answer questions — you must show your work
2. 4 marks Each part is worth 2 marks.
Answer:
Pr
ac
tic
(a) Find the slope of the tangent line to 2x + sin(xy) + y 3 = 9 at the point (0, 2)
√
(b) Find the derivative of the function g(x) = cos3 ( 3 x).
Answer:
Long answer question — you must show your work
3. 4 marks Determine the point(s) where the tangent line to
h(x) = x2/x , x > 0
is horizontal.
Pr
ac
tic
e
Q
ui
z
Answer:
MATH 104-184 Quiz #3
October 23
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 = esin x .
ui
z
Answer:
Q
(b) The cost function is given by C(q) = 5q 3 + 80q + 330. Estimate the cost of producing the
11th unit.
Answer:
e
Short answer questions — you must show your work
2. 4 marks Each part is worth 2 marks.
Answer:
Pr
ac
tic
(a) Find the slope of the tangent line to 4x + sin(xy) + y 3 = 9 at the point (0, 2)
√
(b) Find the derivative of the function g(x) = cos4 ( 4 x).
Answer:
Long answer question — you must show your work
3. 4 marks Determine the point(s) where the tangent line to
h(x) = x4/x , x > 0
is horizontal.
Pr
ac
tic
e
Q
ui
z
Answer:
MATH 104-184 Quiz #3
October 23
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 = ecos x .
ui
z
Answer:
Q
(b) he cost function is given by C(q) = 5q 2 + 90q + 330. Estimate the cost of producing the
14th unit.
Answer:
e
Short answer questions — you must show your work
2. 4 marks Each part is worth 2 marks.
Answer:
Pr
ac
tic
(a) Find the slope of the tangent line to 5x + sin(xy) + y 3 = 9 at the point (0, 2)
√
(b) Find the derivative of the function g(x) = sin4 ( 4 x).
Answer:
Long answer question — you must show your work
3. 4 marks Determine the point(s) where the tangent line to
h(x) = x5/x , x > 0
is horizontal.
Pr
ac
tic
e
Q
ui
z
Answer: