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Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by the graphs of the functions y=x², y = 8 x² and to the right of = 1 about the y-axis.

Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by the graphs of the functions y=x², y = 8 x² and to the right of = 1 about the y-axis.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Can you show me how to solve this? I believe the radius to be (1+x)  since it's once over and I believe the height to be (8-x2) however my answers don't match and I think I'm missing a step.

Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by the graphs of the functions y = x², y = 8 ² and to the right of x = 1 about the y-axis.
Transcribed Image Text:Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by the graphs of the functions y = x², y = 8 ² and to the right of x = 1 about the y-axis.
Expert Solution
Step 1

The given region enclosed by the graph of:

y=x2, y=8-x2, right of x=1

Axis of revolution is: y axis

Calculus homework question answer, step 1, image 1

 

Here the region is ABCA.

Now we will find the volume of revolution of the region ACFEA around the y axis.

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