JE cylinder x = y², and the planes x + z = 4 and z = 0. а. Express the integral as an iterated integral in the order of integration: SE f(x, y, z)dædzdy. b. Express the integral as an iterated integral in the order of integration: SLe f(x, y, z) dydzdæ. E Evaluate the iterated integral for f(x, y, z) = 7xz using an integration с. order of your choice.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the integral E f(x, y, z) dV where the region E is bounded by the
cylinder x = y², and the planes x + z = 4 and z = 0.
а.
Express the integral as an iterated integral in the order of integration:
SITE f(x, y, z)dædzdy.
b.
Express the integral as an iterated integral in the order of integration:
SITE f(x,y, z)dydzdx.
С.
Evaluate the iterated integral for f(x, y, z) = 7xz using an integration
order of your choice.
Transcribed Image Text:Consider the integral E f(x, y, z) dV where the region E is bounded by the cylinder x = y², and the planes x + z = 4 and z = 0. а. Express the integral as an iterated integral in the order of integration: SITE f(x, y, z)dædzdy. b. Express the integral as an iterated integral in the order of integration: SITE f(x,y, z)dydzdx. С. Evaluate the iterated integral for f(x, y, z) = 7xz using an integration order of your choice.
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