Deck 12: Trigonometric Functions and Calculus

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Question
Evaluate the integral <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Question
Find the derivative of the function <strong>Find the derivative of the function  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the derivative of the function  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the derivative of the function  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the derivative of the function  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the derivative of the function  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the derivative of the function  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
An airplane flies at an altitude of 5 miles towards a point directly over an observer. Consider <strong>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.  </strong> 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 <div style=padding-top: 35px> and x as shown in the following figure. The speed of the plane is 400 miles per hour. Find <strong>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.  </strong> 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 <div style=padding-top: 35px> when <strong>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.  </strong> 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 <div style=padding-top: 35px> . Round your answer to three decimal places. <strong>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.  </strong> 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 <div style=padding-top: 35px>

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
Find the integral <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the derivative of the function <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Evaluate the expression <strong>Evaluate the expression   without using a calculator.</strong> A)   B)13 C)   D)12 E)5   <div style=padding-top: 35px> without using a calculator.

A) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)13 C)   D)12 E)5   <div style=padding-top: 35px>
B)13
C) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)13 C)   D)12 E)5   <div style=padding-top: 35px>
D)12
E)5 <strong>Evaluate the expression   without using a calculator.</strong> A)   B)13 C)   D)12 E)5   <div style=padding-top: 35px>
Question
Find the indefinite integral of the following function. <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral of the following function. <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the limit. <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)   <div style=padding-top: 35px>

A) <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)   <div style=padding-top: 35px>
B) <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)   <div style=padding-top: 35px>
C) <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)   <div style=padding-top: 35px>
D)does not exist
E) <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)   <div style=padding-top: 35px>
Question
Find the integral <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the limit. <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)   <div style=padding-top: 35px>

A) <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)   <div style=padding-top: 35px>
B) <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)   <div style=padding-top: 35px>
C) <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)   <div style=padding-top: 35px>
D)does not exist
E) <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)   <div style=padding-top: 35px>
Question
Evaluate the expression <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)0 E)   <div style=padding-top: 35px> without using a calculator.

A) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)0 E)   <div style=padding-top: 35px>
B) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)0 E)   <div style=padding-top: 35px>
C) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)0 E)   <div style=padding-top: 35px>
D)0
E) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)0 E)   <div style=padding-top: 35px>
Question
Evaluate the integral <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral of the following function. <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the integral <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the limit. <strong>Find the limit.  </strong> A)   B)   C)   D)   E)0 <div style=padding-top: 35px>

A) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)0 <div style=padding-top: 35px>
B) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)0 <div style=padding-top: 35px>
C) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)0 <div style=padding-top: 35px>
D) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)0 <div style=padding-top: 35px>
E)0
Question
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? <strong>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?  </strong> A)2 seconds B)4 seconds C)5 seconds D)6 seconds E)3 seconds <div style=padding-top: 35px>

A)2 seconds
B)4 seconds
C)5 seconds
D)6 seconds
E)3 seconds
Question
Find the integral <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Evaluate the expression <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> without using a calculator.

A) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the derivative of the function <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Evaluate the integral <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Evaluate <strong>Evaluate   . Round your answer to three decimal places.</strong> A)12.381 B)14.971 C)7.917 D)20.794 E)12.569 <div style=padding-top: 35px> . Round your answer to three decimal places.

A)12.381
B)14.971
C)7.917
D)20.794
E)12.569
Question
Evaluate the function sinh 2. If the value is not a rational number, give the answer to three-decimal-place accuracy.

A)7.254
B)3.627
C)2.418
D)15.049
E)2.508
Question
Evaluate the integral <strong>Evaluate the integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Evaluate the integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate the integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate the integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate the integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate the integral   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Deck 12: Trigonometric Functions and Calculus
1
Evaluate the integral <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)

A) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)
2
Find the derivative of the function <strong>Find the derivative of the function  </strong> A)   B)   C)   D)   E)

A) <strong>Find the derivative of the function  </strong> A)   B)   C)   D)   E)
B) <strong>Find the derivative of the function  </strong> A)   B)   C)   D)   E)
C) <strong>Find the derivative of the function  </strong> A)   B)   C)   D)   E)
D) <strong>Find the derivative of the function  </strong> A)   B)   C)   D)   E)
E) <strong>Find the derivative of the function  </strong> A)   B)   C)   D)   E)
3
Find the indefinite integral <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   E)
4
An airplane flies at an altitude of 5 miles towards a point directly over an observer. Consider <strong>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.  </strong> 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 and x as shown in the following figure. The speed of the plane is 400 miles per hour. Find <strong>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.  </strong> 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 when <strong>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.  </strong> 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 . Round your answer to three decimal places. <strong>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.  </strong> 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

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
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5
Find the integral <strong>Find the integral  </strong> A)   B)   C)   D)   E)

A) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
B) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
C) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
D) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
E) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
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6
Find the derivative of the function <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)
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7
Evaluate the expression <strong>Evaluate the expression   without using a calculator.</strong> A)   B)13 C)   D)12 E)5   without using a calculator.

A) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)13 C)   D)12 E)5
B)13
C) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)13 C)   D)12 E)5
D)12
E)5 <strong>Evaluate the expression   without using a calculator.</strong> A)   B)13 C)   D)12 E)5
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8
Find the indefinite integral of the following function. <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)
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9
Find the indefinite integral of the following function. <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)
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10
Find the limit. <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)

A) <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)
B) <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)
C) <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)
D)does not exist
E) <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)
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11
Find the integral <strong>Find the integral  </strong> A)   B)   C)   D)   E)

A) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
B) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
C) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
D) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
E) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
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12
Find the limit. <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)

A) <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)
B) <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)
C) <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)
D)does not exist
E) <strong>Find the limit.  </strong> A)   B)   C)   D)does not exist E)
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13
Evaluate the expression <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)0 E)   without using a calculator.

A) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)0 E)
B) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)0 E)
C) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)0 E)
D)0
E) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)0 E)
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14
Evaluate the integral <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)

A) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)
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15
Find the indefinite integral of the following function. <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral of the following function.  </strong> A)   B)   C)   D)   E)
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16
Find the integral <strong>Find the integral  </strong> A)   B)   C)   D)   E)

A) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
B) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
C) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
D) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
E) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
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17
Find the limit. <strong>Find the limit.  </strong> A)   B)   C)   D)   E)0

A) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)0
B) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)0
C) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)0
D) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)0
E)0
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18
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? <strong>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?  </strong> A)2 seconds B)4 seconds C)5 seconds D)6 seconds E)3 seconds

A)2 seconds
B)4 seconds
C)5 seconds
D)6 seconds
E)3 seconds
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19
Find the integral <strong>Find the integral  </strong> A)   B)   C)   D)   E)

A) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
B) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
C) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
D) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
E) <strong>Find the integral  </strong> A)   B)   C)   D)   E)
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20
Evaluate the expression <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)   E)   without using a calculator.

A) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the expression   without using a calculator.</strong> A)   B)   C)   D)   E)
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21
Find the derivative of the function <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the derivative of the function   .</strong> A)   B)   C)   D)   E)
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22
Evaluate the integral <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)

A) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the integral  </strong> A)   B)   C)   D)   E)
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23
Evaluate <strong>Evaluate   . Round your answer to three decimal places.</strong> A)12.381 B)14.971 C)7.917 D)20.794 E)12.569 . Round your answer to three decimal places.

A)12.381
B)14.971
C)7.917
D)20.794
E)12.569
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24
Evaluate the function sinh 2. If the value is not a rational number, give the answer to three-decimal-place accuracy.

A)7.254
B)3.627
C)2.418
D)15.049
E)2.508
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25
Evaluate the integral <strong>Evaluate the integral   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Evaluate the integral   .</strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the integral   .</strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the integral   .</strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the integral   .</strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the integral   .</strong> A)   B)   C)   D)   E)
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