Advanced Engineering Mathematics
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
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) =
expand button
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) =
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) =
=
expand button
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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