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3. In the last work assignment, you computed the volume of the solid obtained by rotating the region inside x² + (y - 4)² = 9 about the x-axis using the washer method. Set up, but do not evaluate, an integral for the volume of the solid of revolution using the shell method.

3. In the last work assignment, you computed the volume of the solid obtained by rotating the region inside x² + (y - 4)² = 9 about the x-axis using the washer method. Set up, but do not evaluate, an integral for the volume of the solid of revolution using the shell method.

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. In the last work assignment, you computed the volume of the solid obtained by rotating the region inside x² + (y − 4)² = 9 about the x-axis using the washer method. Set up, but do not evaluate, an integral for the volume of the solid of revolution using the shell method. 4. Calculate the average value of each function over the given interval. Hint: use the identity sec²(x) - 1 tan²(x) = a) ƒ(x) = x tan²(x), on the interval [0,] b) g(x) = √xe√, on the interval [0, 4]
Transcribed Image Text:3. In the last work assignment, you computed the volume of the solid obtained by rotating the region inside x² + (y − 4)² = 9 about the x-axis using the washer method. Set up, but do not evaluate, an integral for the volume of the solid of revolution using the shell method. 4. Calculate the average value of each function over the given interval. Hint: use the identity sec²(x) - 1 tan²(x) = a) ƒ(x) = x tan²(x), on the interval [0,] b) g(x) = √xe√, on the interval [0, 4]
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