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(b) Find the volume of the solid generated when R is rotated about the x-axis.

(b) Find the volume of the solid generated when R is rotated about the x-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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Solve b part only
The curves f(x) = 3-x² and g(x) = e2 - 1 are shown in the figure. Let R be the shaded region bounded by the graph of f(x), g(x) and the y-axis. 50. (a) Find the area of R using dy as your differential. 51. (b) Find the volume of the solid generated when R is rotated about the x-axis. 52. (c) The vertical line x = k divides R into two regions where the area of the region to the left of the line x = k is the area of the region to the right of the line. Write, but do not solve, an equation involving integral expressions whose solution gives the value of k.
Transcribed Image Text:The curves f(x) = 3-x² and g(x) = e2 - 1 are shown in the figure. Let R be the shaded region bounded by the graph of f(x), g(x) and the y-axis. 50. (a) Find the area of R using dy as your differential. 51. (b) Find the volume of the solid generated when R is rotated about the x-axis. 52. (c) The vertical line x = k divides R into two regions where the area of the region to the left of the line x = k is the area of the region to the right of the line. Write, but do not solve, an equation involving integral expressions whose solution gives the value of k.
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