MATH Calculus 2 homework, 4 questions and 3 quizzes ( total 60 questions multic choice).

15/11/4 下午1:48Quiz: Quiz 4: Covers Chapter 18.

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Quiz 4: Covers Chapter 18. Started: Nov 4 at 12:39pm

Quiz Instructions

1 ptsQuestion 1

A

B

C

D

(A) 0 units

(B) units

(C) p units (D) 2p units

3

3

3

3

1 ptsQuestion 2

A

B

C

D

A region is shown below. Set up the integral for determining the volume of the solid generated by revolving the region around the y-axis.

(A)

(B)

(C)

(D)

1 ptsQuestion 3

A

What is the volume of the solid of revolution generated by revolving the area bounded by y = 4, y = 2x, and x = 1 around the x-axis?

(A) -4p units (B) 20p/3 units (C) 7p units (D) 64p/3 units

3

3

3

3

15/11/4 下午1:48Quiz: Quiz 4: Covers Chapter 18.

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B

C

D

1 ptsQuestion 4

A

B

C

D

What is the volume of the solid of revolution generated by revolving the area bounded by y = -x + 1, y = 0, and x = 0 about the y-axis?

(A) -p/2 units (B) 8p/15 units (C) 2p/3 units (D) p/2 units

2

3

3

3

3

1 ptsQuestion 5

A

B

C

D

How much work is done by stretching a spring with a stiffness of 10 N/m a distance of 10 cm?

(A) 0.05 N-m

(B) 0.1 N-m

(C) 50 N-m

(D) 1000 N-m

1 ptsQuestion 6

A

B

C

D

Which of the following is the work done by a non- constant force F(x) = x moving an object along the x-axis from 2 to 0?

(A) 2

(B) -4

(C) -2x

(D) -2

1 ptsQuestion 7

15/11/4 下午1:48Quiz: Quiz 4: Covers Chapter 18.

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A

B

C

Calculate the volume of the solid of revolution generated by revolving the region bounded by the parabolas y = 2(x - 3) and y = x about y = 0.

(A) 27p/4 (B) 9p (C) 27p

2 2

1 ptsQuestion 8

A

B

C

What is the volume of the solid that is generated by revolving the plane region bounded by y = cosx and y = 0 about the x-axis from x = 0 to x = p/2?

(A) p /4 (B) p /2 (C) p/4 (D) -p /4

2

2

2

1 ptsQuestion 9

A

B

C

D

Which of the following statements accurately compares the volumes of the following two solids, which have the same height and the same horizontal cross-sectional slices?

(A) V < V

(B) V > V

(C) V = V

(D) V and V are not comparable.

A B

A B

A B

A B

1 ptsQuestion 10

If f(x) = sinx, what is the average value of f(x) on the interval [0, p]?

(A) -2/p (B) 0

(C) 2

(D) 2/p

15/11/4 下午1:48Quiz: Quiz 4: Covers Chapter 18.

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A

B

C

D

1 ptsQuestion 11

A

B

C

D

What is the average value of e on [0, 1]?

(A) 1 - e

(B) 1

(C) e - 1

(D) e

x -1

1 ptsQuestion 12

A

B

C

D

(A)

(B)

(C)

(D)

1 ptsQuestion 13

A

B

Find the volume of the solid of revolution obtained by rotating the region bounded by y = x and y = x about the x-axis.

(A)

(B)

(C)

(D)

3 2

15/11/4 下午1:48Quiz: Quiz 4: Covers Chapter 18.

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C

D

1 ptsQuestion 14

A

B

C

D

(A)

(B)

(C)

(D)

1 ptsQuestion 15

A

B

C

D

(A) 2

(B) 1

(C) 2/3

(D) 4/3

1 ptsQuestion 16

A

B

C

(A)

(B)

(C)

(D)

15/11/4 下午1:48Quiz: Quiz 4: Covers Chapter 18.

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D

1 ptsQuestion 17

A

B

C

D

(A)

(B)

(C)

(D)

1 ptsQuestion 18

A

B

C

D

Set up the integral for the length of the smooth arc y = x + 5 on [0, 4].

(A)

(B)

(C)

(D)

4

1 ptsQuestion 19

Compute the length of the arc

(A)

(B)

(C)

(D)

15/11/4 下午1:48Quiz: Quiz 4: Covers Chapter 18.

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Not saved

A

B

C

D

1 ptsQuestion 20

A

B

C

D

A crane raises a 12,000 N marble sculpture at a constant velocity onto a pedestal 1.5 m above the ground outside an art museum. How much work is done by the crane?

(A) 180,000 N-m

(B) 18,000 N-m

(C) 18,000

(D) 12,000 N-m

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