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, x = 0, z = y - 7x and y = 21. rb *9₂(x) h₂(x,y) 1. ·Sofas(²) pha(z) f(x, y, z) dzdydz h₁(x,y) 91(x) ==0 9₁(x) = 92(x) = h₁(x, y) = =h₂(x, y) = a = h₂(x,y) 2. [ f() (²) f(x, y, z)dzdzdy 9₁ h₁(x,y) a b=0 92(y) = |h₂(x, y) = 9₁(y) = h₁(x, y) = a = cb 9z(z) ph,(3,2) 3. [" [²(e) ſhi(²) f(x, y, z)dxdydz 91 h₁(y,z) 0=0 b 91(2) = h₁(y, z) = = 92(2) = h₂(y, z) =
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, x = 0, z = y - 7x and y = 21. rb *9₂(x) h₂(x,y) 1. ·Sofas(²) pha(z) f(x, y, z) dzdydz h₁(x,y) 91(x) ==0 9₁(x) = 92(x) = h₁(x, y) = =h₂(x, y) = a = h₂(x,y) 2. [ f() (²) f(x, y, z)dzdzdy 9₁ h₁(x,y) a b=0 92(y) = |h₂(x, y) = 9₁(y) = h₁(x, y) = a = cb 9z(z) ph,(3,2) 3. [" [²(e) ſhi(²) f(x, y, z)dxdydz 91 h₁(y,z) 0=0 b 91(2) = h₁(y, z) = = 92(2) = h₂(y, z) =
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: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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