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Mathematics
Study Set
Applied Calculus Study Set 1
Quiz 12: Trigonometric Functions
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Question 1
Short Answer
Evaluate the given integral.
Question 2
Short Answer
Evaluate the given integral.
Question 3
Short Answer
Evaluate the given integral.
Question 4
Short Answer
Use the sixth Taylor polynomial approximation of
to obtain an approximation of the given integral. Round your answer to the nearest tenth, if necessary.
__________
Question 5
Short Answer
The revenue of McMenamy's Fish Shanty located at a popular summer resort is approximately
during the t
th
week (
, which corresponds to the first week of June), where
is measured in thousands of dollars. On what week does the restaurant realize the greatest revenue?
week number __________
Question 6
Short Answer
Evaluate the given integral.
Question 7
Short Answer
Evaluate the given integral.
Question 8
Short Answer
Suppose that the rate of air flow in and out of a person's lungs during respiration is
liters per second, where
is the time in seconds. Find an expression for the volume of air in the person's lungs at any time
. Suppose that at the initial moment
the volume of air in the person's lungs is 0.
Question 9
Short Answer
Evaluate the given integral.
Question 10
Short Answer
Evaluate the given integral.