Evaluate the triple integral Z f(x, y, z) = x + u= 3' Remember that: [ ] [F(z, y, z) dv R u lower limit= u upper limit= v lower limit= v upper limit= w lower limit= w upper limit= H(u, v, w) = = 5 5 Lo lo f 2x - y 2 Y 2 2+1 ', v = and w= Triple Integral Region R f(x, y, z)dxdydz where 중.. |J(u, v, w)| = 1116 H(u, v, w) J(u, v, w)|dudvdw= 3 4 [ ] [ H(u, v, w)|J(u, v, w)|dudvdw G

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Question
Evaluate the triple integral
f(x, y, z) = x +
-
3
Remember that:
[11²
R
u lower limit=
F(x, y, z)dV =
"upper limit=
v lower limit=
"upper limit=
w lower limit=
Z
3'
wupper limit=
H(u, v, w) =
|J(u, v, w)|
llle
U=
5
5
Jo Jo Lov
2
2x - y
2
X
Y
+1
2
JJJG
Triple Integral
Region R
H(u, v, w)|J(u, v, w)|dudvdw =
and w=
-3
Z
f(x, y, z)dxdydz where
1
Z
3
3
4
H(u, v, w)|J(u, v, w)|dudvdw
Transcribed Image Text:Evaluate the triple integral f(x, y, z) = x + - 3 Remember that: [11² R u lower limit= F(x, y, z)dV = "upper limit= v lower limit= "upper limit= w lower limit= Z 3' wupper limit= H(u, v, w) = |J(u, v, w)| llle U= 5 5 Jo Jo Lov 2 2x - y 2 X Y +1 2 JJJG Triple Integral Region R H(u, v, w)|J(u, v, w)|dudvdw = and w= -3 Z f(x, y, z)dxdydz where 1 Z 3 3 4 H(u, v, w)|J(u, v, w)|dudvdw
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