7. Find the volume of the solid obtained by rotating the region bounded by the graphs of y = x2 + 4, y = 22 x2, x 2 0 about the y-axis. Be sure to: a) graph the region, b) show the intersection, c) indicate the axis of revolution, d) set up the appropriate integral, e) evaluate the integral, and f) state the method used.

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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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7. Find the volume of the solid obtained by rotating the region bounded by the graphs of y =
x2 + 4, y = 22 x2, x 2 0 about the y-axis. Be sure to: a) graph the region, b) show the
intersection, c) indicate the axis of revolution, d) set up the appropriate integral, e) evaluate the
integral, and f) state the method used.
Transcribed Image Text:7. Find the volume of the solid obtained by rotating the region bounded by the graphs of y = x2 + 4, y = 22 x2, x 2 0 about the y-axis. Be sure to: a) graph the region, b) show the intersection, c) indicate the axis of revolution, d) set up the appropriate integral, e) evaluate the integral, and f) state the method used.
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