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3. [1 Set up an integral that represents the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis. Do not evaluate the integrals (i) x² + 4y? = 4, about y = 2 (ii) x = 4, x2 – y? = 7, about y = 5 (iii) y = 0, y = e-**,-1

3. [1 Set up an integral that represents the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis. Do not evaluate the integrals (i) x² + 4y? = 4, about y = 2 (ii) x = 4, x2 – y? = 7, about y = 5 (iii) y = 0, y = e-**,-1

Elementary Geometry For College Students, 7e
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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3. [1 Set up an integral that represents the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis. Do not evaluate the integrals (i) x² + 4y² = 4, about y = 2 (ii) x = 4, x? - y? = 7, about y = 5 (iii) y = 0, y= e¬*,-1<xs 1, about y = -1 (iv) y = x, y = xe-), about y = 3 (v) y = Vx, x = 2y, about x = 5 (vi) Triangle with vertices (0,0), (1, 2), (1,0) about x = a, a >1
Transcribed Image Text:3. [1 Set up an integral that represents the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis. Do not evaluate the integrals (i) x² + 4y² = 4, about y = 2 (ii) x = 4, x? - y? = 7, about y = 5 (iii) y = 0, y= e¬*,-1<xs 1, about y = -1 (iv) y = x, y = xe-), about y = 3 (v) y = Vx, x = 2y, about x = 5 (vi) Triangle with vertices (0,0), (1, 2), (1,0) about x = a, a >1
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