We have the following. f(x, y, z) = 8(x² + y²) z-2-x²-y² E x² + y²=1 (a) Express the triple integral f(x, y, z) dV as an iterated integral in cylindrical coordinates for the given function f and solid region E. 2π X 1 2-x² X 8x3 × ) dza dz dr de (b) Evaluate the iterated integral. 16T 3 X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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We have the following.
f(x, y, z) = 8(x² + y²)
ZA
z=2-x² - y²
E
-x² + y² = 1
(a) Express the triple integral
JIS
f(x, y, z) dV as an iterated integral in cylindrical coordinates for the given function f and solid region E.
2π
1
2-x²
8x³
X dz dr de
(b) Evaluate the iterated integral.
16п
3
X
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Transcribed Image Text:We have the following. f(x, y, z) = 8(x² + y²) ZA z=2-x² - y² E -x² + y² = 1 (a) Express the triple integral JIS f(x, y, z) dV as an iterated integral in cylindrical coordinates for the given function f and solid region E. 2π 1 2-x² 8x³ X dz dr de (b) Evaluate the iterated integral. 16п 3 X Need Help? Read It
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