Use cylindrical coordinates to evaluate the integral where D is the solid bounded above by the plane z = 2 and below by the surface 2z = x² + y². (see the figure on page 841) -1/2 [[[ z(x² + y²)-¹/² dx dy dz =

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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Use cylindrical coordinates to evaluate the integral where D is the solid bounded above by the plane z = 2 and below by
the surface 2z = x² + y². (see the figure on page 841)
-1/2
[[[ z(x² + y²)-¹/² dx dy dz =
Transcribed Image Text:Use cylindrical coordinates to evaluate the integral where D is the solid bounded above by the plane z = 2 and below by the surface 2z = x² + y². (see the figure on page 841) -1/2 [[[ z(x² + y²)-¹/² dx dy dz =
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