21. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. (a) y = 22, y = 0, x = 1, x = 2; about the x-axis (b) y = ¹, x = 1, x = 2, y = 0; about the x-axis (c) y² = x, x = 2y; about the y-axis

21. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. (a) y = 22, y = 0, x = 1, x = 2; about the x-axis (b) y = ¹, x = 1, x = 2, y = 0; about the x-axis (c) y² = x, x = 2y; about the y-axis

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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