z dv; D is bounded by the paraboloid z = 16 – x? – 4y² and the xy-plane. Use x = 4u cos v, y = 2u sin v, z = w.

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?
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Triple integrals Use a change of variables to evaluate the following integral.

z dv; D is bounded by the paraboloid z = 16 – x? – 4y² and
the xy-plane. Use x = 4u cos v, y = 2u sin v, z = w.
Transcribed Image Text:z dv; D is bounded by the paraboloid z = 16 – x? – 4y² and the xy-plane. Use x = 4u cos v, y = 2u sin v, z = w.
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