Write an integral for the average value of f(x,y,z) = xyz over the region bounded by the paraboloid y = 36-x² - z² and the xz-plane (assuming the volume of the region is known). f= 1 volume SS S xyz dy dz dx

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...
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Write an integral for the average value of f(x,y,z) = xyz over the region bounded by the paraboloid y = 36-x² - z² and
the xz-plane (assuming the volume of the region is known).
f=
1
volume
SS S xyz dy dz dx
Transcribed Image Text:Write an integral for the average value of f(x,y,z) = xyz over the region bounded by the paraboloid y = 36-x² - z² and the xz-plane (assuming the volume of the region is known). f= 1 volume SS S xyz dy dz dx
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