1 125 Let R be the region in the first quadrant between the curve y 1 52. -2³ and the line y We will rotate R about the line x = -3. Write an integral for the volume of the solid as a da integral. You do not need to compute the volume, just fill in the boxes. b= Volume = JC da a= Write an integral to find this same volume for the solid as a dy integral. You do not need to compute the volume, just fill in the boxes. b= Volume dy a= In the box below, for both parts report the following: 1) What is the shape of a slice (disc, washer or tube/shell)? 2) Sketch by hand, the rotated slice on the graph. Don't stress about making it perfect. 3) List values of relavent important quantities. (i.e. R, r and/or h).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 22CR
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Kindly assist with the attached problem

1
-2³ and the line y
1
52.
Let R be the region in the first quadrant between the curve y
125
We will rotate R about the line * = -3.
Write an integral for the volume of the solid as a da integral. You do not need to compute the volume, just
fill in the boxes.
b=
dr
SC
a=
Write an integral to find this same volume for the solid as a dy integral. You do not need to compute the
volume, just fill in the boxes.
b=
Volume
dy
a=
In the box below, for both parts report the following:
1) What is the shape of a slice (disc, washer or tube/shell)?
2) Sketch by hand, the rotated slice on the graph. Don't stress about making it perfect.
3) List values of relavent important quantities. (i.e. R, r and/or h).
Volume
Transcribed Image Text:1 -2³ and the line y 1 52. Let R be the region in the first quadrant between the curve y 125 We will rotate R about the line * = -3. Write an integral for the volume of the solid as a da integral. You do not need to compute the volume, just fill in the boxes. b= dr SC a= Write an integral to find this same volume for the solid as a dy integral. You do not need to compute the volume, just fill in the boxes. b= Volume dy a= In the box below, for both parts report the following: 1) What is the shape of a slice (disc, washer or tube/shell)? 2) Sketch by hand, the rotated slice on the graph. Don't stress about making it perfect. 3) List values of relavent important quantities. (i.e. R, r and/or h). Volume
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