Write a triple integral for f(x, y, z) = xyz over the solid region Q for each of the six possible orders of integration. Q = {(x, y, z): x² + y² ≤ 25,0 ≤ z ≤ 9} !!! F xyz dv= Q S 1₂ Is Ts = = T Evaluate one of the triple integrals. ]]. xyz dv= L 25 25x² 25x2 25 25 25 xyz dy dx dz xyz dx dy dz xyz dx dz dy xyz dz dx dy xyz dy dz dx xyz dz dy dx
Write a triple integral for f(x, y, z) = xyz over the solid region Q for each of the six possible orders of integration. Q = {(x, y, z): x² + y² ≤ 25,0 ≤ z ≤ 9} !!! F xyz dv= Q S 1₂ Is Ts = = T Evaluate one of the triple integrals. ]]. xyz dv= L 25 25x² 25x2 25 25 25 xyz dy dx dz xyz dx dy dz xyz dx dz dy xyz dz dx dy xyz dy dz dx xyz dz dy dx
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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Transcribed Image Text:Write a triple integral for f(x, y, z) = xyz over the solid region Q for each of the six possible orders of integration.
Q = {(x, y, z): x² + y² ≤ 25,0 ≤ z ≤ 9}
!!!
xyz dv=
=
=
15
xyz dv=
15
-5
Evaluate one of the triple integrals.
[[[
25 - y2
25
Jo
25
25
xyz dy dx dz
xyz dx dy dz
xyz dx dz dy
xyz dz dx dy
xyz dy dz dx
xyz dz dy dx
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