Write triple integrals in the order (1) dzdxdy, (2) dxdydz, and (3) dydxdz to represent the volume of the region in the first octant bounded by the paraboloids x = z2 + y? and x = 8-22 - y then evaluate the volume.

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 25E
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Write triple integrals in the order (1) dzdxdy, (2) dxdydz, and (3) dydxdz to
represent the volume of the region in the first octant bounded by the paraboloids
x = z2 + y? and x = 8 - z? – y? then evaluate the volume.
Transcribed Image Text:Write triple integrals in the order (1) dzdxdy, (2) dxdydz, and (3) dydxdz to represent the volume of the region in the first octant bounded by the paraboloids x = z2 + y? and x = 8 - z? – y? then evaluate the volume.
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