(a) Evaluate the triple integral dV, where E= {(x,y,z):0

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
(a)
Evaluate the triple integral
dV, where
E
E= {(x,y,z):0<x< 3, 0<y< 3, 0<z3 2).
%3D
(b)
Evaluate the triple integral
z dV, where
E
E= {(x,y,z):0<x< 3, 0<y< (3– 3 x), 0<z< (2- 3 x- 3 y) }
(c)
valuate the triple integral
y
dV, where
Ey+x
E = {(x,y,z): 4sx<5, 4<y< 5, 4<z< 5}
(Write down the final answer as a numerical
value.)
Transcribed Image Text:(a) Evaluate the triple integral dV, where E E= {(x,y,z):0<x< 3, 0<y< 3, 0<z3 2). %3D (b) Evaluate the triple integral z dV, where E E= {(x,y,z):0<x< 3, 0<y< (3– 3 x), 0<z< (2- 3 x- 3 y) } (c) valuate the triple integral y dV, where Ey+x E = {(x,y,z): 4sx<5, 4<y< 5, 4<z< 5} (Write down the final answer as a numerical value.)
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