Calculas 2 solve problems with steps home work 2 and 7

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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1/16
4/22/2018
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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2/5
4/22/2018
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
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=18238637
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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