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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Can you please help me with this homework problem

Transcribed Image Text:b
(92(x) ph₂(x,z)
5. [° [356²) haza) f(x, y, z) dydzdz
a
9₁(x) Jh(2,2)
b =
a =
91(x)
h₁(x, z)
=
a =
91(z)
h₁(x, z)
=
=
cb 192(2) ph₂(x,z)
6.
3. f* f(²) phil(z) f(x, y, z)dydzdz
he
a
91
h₁(x,z)
b
=
92(x) =
=
=
h₂(x, z) =
|92(z) =
=
h₂(x, z) =

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
0, z=y 7x and y = 21.
z = 0, x
a =
·b 92
ph,(x,y)
1.
[o [(e) [(e) f(x, y, z)dzdydz
a
91(x) h₁(x,y)
b
91 (x)
h₁(x, y)
2.
a =
91 (y)
h₁(x, y)
=
a =
4.
·b
[[9) (3) f(x, y, z)dzdzdy
9₁ (y)
h₁(x,y)
b
a =
=
91(z) =
h₁(y, z) =
a
=
=
=
=
92(x):
b
ph₂(y,z)
3.
[ [9(²) [^h (1²) f(x, y, z)dzdydz
91 (2)
h₁(y,z)
b
91(y):
h₁(y, z) =
=
=
-
|h₂(x, y) =
92(y)
=
=
h₂(x, y)
92(2):
cb
b[9) (²) f(x, y, z)dadzdy
91 (y)
h₁(y,z)
92(y)
=
=
|h₂(y, z) =
=
h₂(y, z) =
=
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