(a) sketch the region enclosed by the curves, (b) describe the cross section perpendicularto the x-axis located at x, and (c) find the volume of the solid obtained by rotating the region about the x-axis. y = 16 − x, y = 3x + 12, x = −1

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 37E: Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 5,...
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(a) sketch the region enclosed by the curves, (b) describe the cross section perpendicular
to the x-axis located at x, and (c) find the volume of the solid obtained by rotating the region about the x-axis. y = 16 − x, y = 3x + 12, x = −1

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