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rotate this region around a horizontal line y = k where the shape of the slice is a disc. . What is the value of k that will result in this disc shape?

rotate this region around a horizontal line y = k where the shape of the slice is a disc. . What is the value of k that will result in this disc shape?

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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Consider the region in the first quadrant that is enclosed by y = 2 and y = f(x) = x^4.


rotate this region around a horizontal line y = k where the shape of the slice is a disc.

a. What is the value of k that will result in this disc shape?


b. Set up the integral, but do not evaluate, that gives the volume of this solid.
In your work list values of important quantities. (i.e. r and/or R).

Next, rotate this region around a horizontal line \( y = k \) where the shape of the slice is a disc. a. What is the value of \( k \) that will result in this disc shape? b. Set up the integral, but do not evaluate, that gives the volume of this solid. In your work list values of important quantities. (i.e. \( r \) and/or \( R \)).
Transcribed Image Text:Next, rotate this region around a horizontal line \( y = k \) where the shape of the slice is a disc. a. What is the value of \( k \) that will result in this disc shape? b. Set up the integral, but do not evaluate, that gives the volume of this solid. In your work list values of important quantities. (i.e. \( r \) and/or \( R \)).
Expert Solution
Step 1: Given:

y equals 2 comma space space space space y equals x to the power of 4

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The solution was solved for washer instead of disk.

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