Multivariable Calculus Quiz
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MULTIPLE INTEGRALS
Question 1
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Let
E
E
E
be the solid region bounded by the cylinder
y
2
+
z
2
=
1
y^2+z^2=1
y
2
+
z
2
=
1
and the planes
x
=
0
x=0
x
=
0
and
x
=
y
x=y
x
=
y
. Evaluate the integral
∭
E
z
d
V
\iiint_E z \, dV
∭
E
z
d
V
.
A
0
0
0
B
1
4
\frac{1}{4}
4
1
C
2
3
\frac{2}{3}
3
2
D
4
3
\frac{4}{3}
3
4
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