MTH 135 Homework Assignment for Week 7
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the integral.
1) 1) _______
A) B)
C) D)
2) 2) _______
A) B)
C) D)
Provide an appropriate response.
3) Find f(x) if and 3) _______
A) B) C) D)
Solve the problem.
4) The marginal revenue from the sale of compact discs is given by and where R(x) is the
revenue in dollars. Find the price-demand equation. 4) _______
A) B) C) D)
Find the integral.
5) 5) _______
A) – 2 ln + C B)
C) D) 2 ln + C
6) 6) _______
A) B)
C) D)
Solve the problem.
7) A company has found that the marginal cost of a new production line (in thousands) is where x is the
number of years the line is in use. Find the total cost function for the production line (in thousands). The fixed cost is
$20,000. 7) _______
A) C(x) = + 20 B) C(x) = 9 ln (x + e) + 11
C) C(x) = + 11 D) C(x) = 9 ln (x + e) + 20
Provide an appropriate response.
8) Find the general solution for the differential equation 8) _______
A) B) C) D)
9) Find the particular solution for the differential equation y’ = 4x ; y(0) = 20. 9) _______
A) y = 4x – + 22 B) y = 2x – + 21
C) y = 2x + 20 D) y = 4x – + 21
Match the differential equation with the appropriate slope field.
10) = – 10) ______
A)
B)
C)
D)
Solve the problem.
11) A single injection of a drug is administered to a patient. The amount Q in the body then decreases at a rate
proportional to the amount present, and for this particular drug the rate is 3% per hour. Thus, with
where t is time in hours. If the initial injection is 4 milliliters about how many hours after the drug
is given will there be 2 milliliters of the drug remaining in the body? (Round answer to the nearest tenth of an hour.)
11) ______
A) 21.3 hours B) 69.3 hours C) 23.1 hours D) 11.3 hours
Identify the rectangles shown in the graph as left rectangles, right rectangles, or neither.
12)
12) ______
A) left rectangles B) neither C) right rectangles
Provide an appropriate response.
13) Divide the interval [0, 8] into four equal subintervals and draw in the corresponding left rectangles.
13) ______
A)
B)
C)
D)
Approximate the area under the graph of f(x) and above the x-axis using n rectangles.
14) f(x) = + 2; interval [0, 5]; n = 5; compute 14) ______
A) 66 B) 32 C) 40 D) 65
Evaluate the integral.
15) 15) ______
A) 2 B) -7 C) 12 D) 7
16) . 16) ______
A) 288 B) 24 C) 192 D) 128
17) dx 17) ______
A) -5 B) – C) 0 D) 5
Provide an appropriate response.
18) Find the average value of the function y = 5 – over the interval [- 3, 2]. 18) ______
A) B) C) – D)
Solve the problem.
19) A drug is injected into the bloodstream of a patient through her right arm. The concentration of the drug, C(t) (in
milligrams per cubic centimeter), in the blood stream of the left arm t hours after the injection is given by
What is the average concentration of the drug in the bloodstream of the left arm during the first two hours after the
injection? 19) ______
A) 0.344 milligrams per cubic centimeter B) 0.060 milligrams per cubic centimeter
C) 0.241 milligrams per cubic centimeter D) 0.121 milligrams per cubic centimeter
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