Calculas 2 solve problems with steps home work 2 and 7Assignment 2 (Homework) Assignment 7 (Homework)

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4/22/2018

Assignment 2

Saeed Alameri

MA 242, section 02, Spring 2018

Instructor: Michael Topper

WebAssign

Assignment 2 (Homework)

Current Score : 29 / 29

Due : Thursday, January 25 2018 11:59 PM MST

The due date for this assignment is past. Your work can be viewed below, but no changes can be made.

Important! Before you view the answer key, decide whether or not you plan to request an extension. Your Instructor may not grant you an extension if you

have viewed the answer key. Automatic extensions are not granted if you have viewed the answer key.

Request Extension View Key

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Assignment 2

1. 3/3 points | Previous AnswersSCalc7 5.2.001.

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.

y=4-

1

x, y = 0, x = 0, x = 1;

2

about the xaxis

V=

$$169p12

Sketch the region.

Sketch the solid, and a typical disk or washer.

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Assignment 2

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Assignment 2

2. 3/3 points | Previous AnswersSCalc7 5.2.002.MI.

Find the volume of the solid obtained by rotating the region bounded by the given curves about the xaxis.

y = 2 – 2×2, y = 0

V=

$$64p15

Sketch the region.

Sketch the solid, and a typical disk or washer.

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Assignment 2

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Assignment 2

3. 11/11 points | Previous AnswersSCalc7 5.2.002.MI.SA.

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any

points for the skipped part, and you will not be able to come back to the skipped part.

Tutorial Exercise

Find the volume of the solid obtained by rotating the region bounded by the given curves about the xaxis.

y = 7 – 7×2, y = 0

Find the volume V of this solid.

Step 1

When y = 7 – 7×2 is rotated around the xaxis, a vertical strip of width ?x creates a disk.

The radius of this disk is r =

$$7-7×2

.

Sketch the region.

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Assignment 2

Sketch the solid, and a typical disk or washer.

Step 2

The crosssectional area of a disk of radius r is A =

$$pr2

.

Since our disk has radius r = 7 – 7×2, then the crosssectional area is

A=

$$p(7-7×2)2

.

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Assignment 2

Step 3

The function y = 7 – 7×2 intersects the xaxis at the following values of x.

x = 1

(smaller value)

x= 1

(larger value)

Step 4

Now we can say that the volume of the solid created by rotating the shaded area around the xaxis is

x2

V=

1

A(x) dx =

x1

p(7 – 7×2)2 dx .

-1

Step 5

So, the volume of our solid is

1

-1

p(7 – 7×2)2 dx = p

$$49×4

1

49 – 98 x2 +

-1

dx.

p

$$49x-983×3+495×5

1

-1

=

$$784p15

This becomes

.

You have now completed the Master It.

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Assignment 2

4. 3/3 points | Previous AnswersSCalc7 5.2.005.

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.

x=4

5y , x = 0, y = 3;

about the yaxis

V=

$$360p

Sketch the region.

Sketch the solid, and a typical disk or washer.

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Assignment 2

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Assignment 2

5. 3/3 points | Previous AnswersSCalc7 5.2.007.MI.

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.

y = 7×5,

y = 7x,

x = 0;

about the xaxis

V=

$$392p33

Sketch the region.

Sketch the solid, and a typical disk or washer.

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Assignment 2

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Assignment 2

6. 3/3 points | Previous AnswersSCalc7 5.2.008.

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.

y=

1 2

3

x ,y=

– x2;

2

2

about the xaxis

V=

$$14p5

Sketch the region.

Sketch the solid, and a typical disk or washer.

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Assignment 2

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Assignment 2

7. 3/3 points | Previous AnswersSCalc7 5.2.009.

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.

y2 = 2x, x = 2y;

about the yaxis

V=

$$512p15

Sketch the region.

Sketch the solid, and a typical disk or washer.

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Assignment 2

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Assignment 7

Saeed Alameri

MA 242, section 02, Spring 2018

Instructor: Michael Topper

WebAssign

Assignment 7 (Homework)

Current Score : 40 / 40

Due : Saturday, February 24 2018 11:59 PM MST

The due date for this assignment is past. Your work can be viewed below, but no changes can be made.

Important! Before you view the answer key, decide whether or not you plan to request an extension. Your Instructor may not grant

you an extension if you have viewed the answer key. Automatic extensions are not granted if you have viewed the answer key.

Request Extension View Key

1. 3/3 points | Previous Answers

Respond with the letter of the correct solution to problem 1 from your work done on Assignment 7

(paper copy provided in Canvas.)

D

A

B

C

2. 2/2 points | Previous Answers

Respond with the letter of the correct solution to problem 2 from your work done on Assignment 7

(paper copy provided in Canvas.)

C

A

D

B

3. 2/2 points | Previous Answers

Respond with the letter of the correct solution to problem 3 from your work done on Assignment 7

(paper copy provided in Canvas.)

D

B

A

C

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Assignment 7

4. 3/3 points | Previous Answers

Respond with the letter of the correct solution to problem 4 from your work done on Assignment 7

(paper copy provided in Canvas.)

D

A

B

C

5. 3/3 points | Previous Answers

Respond with the letter of the correct solution to problem 5 from your work done on Assignment 7

(paper copy provided in Canvas.)

C

A

D

B

6. 3/3 points | Previous Answers

Respond with the letter of the correct solution to problem 6 from your work done on Assignment 7

(paper copy provided in Canvas.)

D

A

C

B

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Assignment 7

7. 3/3 points | Previous Answers

Respond with the letter of the correct solution to problem 7 from your work done on Assignment 7

(paper copy provided in Canvas.)

D

A

C

B

8. 3/3 points | Previous Answers

Respond with the letter of the correct solution to problem 8 from your work done on Assignment 7

(paper copy provided in Canvas.)

D

A

C

B

9. 3/3 points | Previous Answers

Respond with the letter of the correct solution to problem 9 from your work done on Assignment 7

(paper copy provided in Canvas.)

D

B

A

C

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3/5

4/22/2018

Assignment 7

10.3/3 points | Previous Answers

Respond with the letter of the correct solution to problem 10 from your work done on Assignment 7

(paper copy provided in Canvas.)

C

A

D

B

11.3/3 points | Previous Answers

Respond with the letter of the correct solution to problem 11 from your work done on Assignment 7

(paper copy provided in Canvas.)

D

A

C

B

12.3/3 points | Previous Answers

Respond with the letter of the correct solution to problem 12 from your work done on Assignment 7

(paper copy provided in Canvas.)

D

A

B

C

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4/5

4/22/2018

Assignment 7

13.3/3 points | Previous Answers

Respond with the letter of the correct solution to problem 13 from your work done on Assignment 7

(paper copy provided in Canvas.)

D

A

B

C

14.3/3 points | Previous Answers

Respond with the letter of the correct solution to problem 14 from your work done on Assignment 7

(paper copy provided in Canvas.)

D

A

C

B

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5/5

…

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