A region is bounded by the parabolas y2 = 4- 4x and y? = 4 - r. a] Evaluate the volume of the solid generated when the area of the region is revolved about the line y=2. (Use a single integral.) b] Set up the integral for the volume generated when the same area is revolved about the y-axis. (Use a single integral.)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Please answer in integral calculus. Show drawing/graph first if needed. Show complete solution.
A region is bounded by the parabolas y2 = 4-4x
and y? = 4 .
a] Evaluate the volume of the solid generated when the area of the region is revolved about the line y= 2. (Use a single integral.)
b] Set up the integral for the volume generated when the same area is revolved about the y-axis. (Use a single integral.)
Transcribed Image Text:A region is bounded by the parabolas y2 = 4-4x and y? = 4 . a] Evaluate the volume of the solid generated when the area of the region is revolved about the line y= 2. (Use a single integral.) b] Set up the integral for the volume generated when the same area is revolved about the y-axis. (Use a single integral.)
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