5. f(x, y, z) = x z=1-x² X ZA y+z=2 E y

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Complete problem 5
Evaluate the triple integral fff f(x, y, z)dV as an iterated integral for the given function f and the solid region E.
5. f(x, y, z) = x
6. f(x,y,z) = xy
z=1-x²
y+z=2
E
ZA
y=x
IP
0
Use the transformation u = x + y, v= x - y to set up the iterated integral
located at (0, 2), (1, 1), (2, 2), and (1, 3).
x-y
SSR x+y
z=4-y²
E
3
dA where R has vertices
Transcribed Image Text:Evaluate the triple integral fff f(x, y, z)dV as an iterated integral for the given function f and the solid region E. 5. f(x, y, z) = x 6. f(x,y,z) = xy z=1-x² y+z=2 E ZA y=x IP 0 Use the transformation u = x + y, v= x - y to set up the iterated integral located at (0, 2), (1, 1), (2, 2), and (1, 3). x-y SSR x+y z=4-y² E 3 dA where R has vertices
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