Evaluate the triple integrale dV where E is bounded by the parabolic cylinder z = 4 -1² and the planes z = 0, z = 2, and a = -2. E

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
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
Question
Evaluate the triple integral
0
2³e¹dV where E is bounded by the parabolic cylinder z = 4 - y² and the planes z = 0, sc = 2, and a = −2.
E
Transcribed Image Text:Evaluate the triple integral 0 2³e¹dV where E is bounded by the parabolic cylinder z = 4 - y² and the planes z = 0, sc = 2, and a = −2. E
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