Use the Shell Method to find the volume V of the solid obtained by rotating the region bounded by the following curves about the x-axis. Draw the 2D region, the resulting 3D volume of revolution, a typical shell, state dV, get everything in terms of x or y (queen variable), and finally integrate to find V. x=3+(y-6)², x=19

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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Use the Shell Method to find the volume V of the solid obtained by rotating the region bounded
by the following curves about the x-axis. Draw the 2D region, the resulting 3D volume of
revolution, a typical shell, state dV, get everything in terms of x or y (queen variable), and finally
integrate to find V.
x=3+(y-6)², x=19
Transcribed Image Text:Use the Shell Method to find the volume V of the solid obtained by rotating the region bounded by the following curves about the x-axis. Draw the 2D region, the resulting 3D volume of revolution, a typical shell, state dV, get everything in terms of x or y (queen variable), and finally integrate to find V. x=3+(y-6)², x=19
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