Question 1

Find the integral

Accepted Answer

A)   
B)   
C)   
D)   
E)    E

Question 2

Find the integral

Accepted Answer

A)   
B)   
C)   
D)   
E)    A

Question 3

Evaluate the function sinh 2. If the value is not a rational number, give the answer to three-decimal-place accuracy.

Accepted Answer

A)  7.254
B)  3.627
C)  2.418
D)  15.049
E)  2.508 B

Question 4

Evaluate the integral

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 5

Evaluate the integral  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 6

Find the derivative of the function  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 7

Find the integral

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 8

Find the limit.

Accepted Answer

A)   
B)   
C)   
D)   
E)  0

Question 9

Find the derivative of the function  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 10

Find the indefinite integral of the following function.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 11

Find the derivative of the function

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

Find the indefinite integral  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

Evaluate the expression  without using a calculator.

Accepted Answer

A)   
B)  13
C)   
D)  12
E)  5

Question 14

Find the limit.

Accepted Answer

A)   
B)   
C)   
D)  does not exist
E)

Question 15

An airplane flies at an altitude of 5 miles towards a point directly over an observer. Consider  and x as shown in the following figure. The speed of the plane is 400 miles per hour. Find  when  . Round your answer to three decimal places.

Accepted Answer

A)  -58.824 rad/hr
B)  11.765 rad/hr
C)  0.147 rad/hr
D)  58.824 rad/hr
E)  -29.412 rad/hr

Question 16

Evaluate  . Round your answer to three decimal places.

Accepted Answer

A)  12.381
B)  14.971
C)  7.917
D)  20.794
E)  12.569

Question 17

Evaluate the expression  without using a calculator.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 18

Find the integral

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

In a free-fall experiment, an object is dropped from a height of 144 feet. A camera on the ground 500 feet from the point of impact records the fall of the object as shown in the figure. Assuming the object is released at time t = 0. At what time will the object reach the ground level?

Accepted Answer

A)  2 seconds
B)  4 seconds
C)  5 seconds
D)  6 seconds
E)  3 seconds

Question 20

Find the indefinite integral of the following function.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 12: Trigonometric Functions and Calculus

Find the integral

Find the integral

Evaluate the function sinh 2. If the value is not a rational number, give the answer to three-decimal-place accuracy.

Evaluate the integral

Evaluate the integral .

Find the derivative of the function .

Find the integral

Find the limit.

Find the derivative of the function .

Find the indefinite integral of the following function.

Find the derivative of the function

Find the indefinite integral .

Evaluate the expression without using a calculator.

Find the limit.

An airplane flies at an altitude of 5 miles towards a point directly over an observer. Consider and x as shown in the following figure. The speed of the plane is 400 miles per hour. Find when . Round your answer to three decimal places.

Evaluate . Round your answer to three decimal places.

Evaluate the expression without using a calculator.

Find the integral

In a free-fall experiment, an object is dropped from a height of 144 feet. A camera on the ground 500 feet from the point of impact records the fall of the object as shown in the figure. Assuming the object is released at time t = 0. At what time will the object reach the ground level?

Find the indefinite integral of the following function.