4. for a a = 91(y) = h₁(y, z) a = 2 (y) 9₁ (y) a a = b = = b 9₁(x) = h₁(x, z) = b •9₂(x) h₂(x,z) 5. (e) (2) f(z, y, z)dydzdz 9₁(x) h₁(x,z) = b •h₂(y,z) h₁(y,z) 92(y) = = = f(x, y, z)dxdzdy h₂(y, z) = b 92(2) ph₂(x,z) 6. ["(") ha) f(x, y, z)dydzdz a 9₁ h₁(x,z) = 92(x) = h₂(x, z) = = 91(z) = 92 (2) h₁(x, z) = |h₂(x, z) = 0 | √ X B TU - U Tt

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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Question
Can you help me with the 2nd part of my homework question
Express the integral
f(x, y, z)dV as an iterated integral
E
in six different ways, where E is the solid bounded by
z = 0, X =
0, z = y — 7x and y = 21.
Transcribed Image Text:Express the integral f(x, y, z)dV as an iterated integral E in six different ways, where E is the solid bounded by z = 0, X = 0, z = y — 7x and y = 21.
2 (y) •h₂(y,z)
4.
+ Sofasta) phot) (z, y, z)dzdzdy
f(x,
a
9₁ (y)
h₁(y,z)
a =
9₁(y) =
h₁(y, z)
a =
b =
=
a =
b
9₁(x) =
h₁(x, z) =
b
•9₂(x)
ph₂(x,z)
5. " [(e) (2) f(x, y, z)dydzdz
a
9₁(x)
h₁(x,z)
=
b
92(y) =
=
=
h₂(y, z) =
b
92(2) ph₂(x,z)
6. [") has) f(x, y, z)dydzdz
a
9₁ (2)
h₁(x,z)
=
92(x) =
h₂(x, z) =
91(z) =
92(z)
h₁(x, z) = |h₂(x, z) = 0
=
8
B
-
U
Tt
Transcribed Image Text:2 (y) •h₂(y,z) 4. + Sofasta) phot) (z, y, z)dzdzdy f(x, a 9₁ (y) h₁(y,z) a = 9₁(y) = h₁(y, z) a = b = = a = b 9₁(x) = h₁(x, z) = b •9₂(x) ph₂(x,z) 5. " [(e) (2) f(x, y, z)dydzdz a 9₁(x) h₁(x,z) = b 92(y) = = = h₂(y, z) = b 92(2) ph₂(x,z) 6. [") has) f(x, y, z)dydzdz a 9₁ (2) h₁(x,z) = 92(x) = h₂(x, z) = 91(z) = 92(z) h₁(x, z) = |h₂(x, z) = 0 = 8 B - U Tt
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