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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 13E
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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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