Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. If possible, find the volume of S by both the disk/washer and shell methods. Check that your results agree. 1 21 y=x, y=x in the first quadrant; revolved about the x-axis Set up the integral(s) that gives the volume of the solid as a single integral if possible using the disk/washer method. Use increasing limits of integration. Select the correct choice below and fill in any answer boxes within your choice. -00ܐ ܫܩ O A. dx+ dx (Type exact answers.) O B. dx (Type exact answers.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. If possible, find the volume of S by both the disk/washer and shell methods.
Check that
your results agree.
y = x, y = x
Set up the integral(s) that gives the volume of the solid as a single integral if possible using the disk/washer method. Use increasing limits of integration. Select the correct choice below and fill in any answer
boxes within your choice.
O A.
1
21
in the first quadrant; revolved about the x-axis
B.
dx +
dx (Type exact answers.)
dx (Type exact answers.)
Transcribed Image Text:Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. If possible, find the volume of S by both the disk/washer and shell methods. Check that your results agree. y = x, y = x Set up the integral(s) that gives the volume of the solid as a single integral if possible using the disk/washer method. Use increasing limits of integration. Select the correct choice below and fill in any answer boxes within your choice. O A. 1 21 in the first quadrant; revolved about the x-axis B. dx + dx (Type exact answers.) dx (Type exact answers.)
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