Math 208 (Lutz) - Quiz #8, 10/25/13
Name:
Directions: This quiz has 2 questions, for a total of 20 points. Solve each problem carefully. You must
show ALL of your work in order to earn full credit.
1. (10 points) Evaluate the triple integral
!
f dV,
W
where f (x, y, z) = sin(x2 + y 2 ) and W is the solid cylinder with height 4 and radius 1, where the base
is centered on the z-axis at z = −1.
2. (10 points) Evaluate the triple integral
!
1
0
!
√
1−x2
√
− 1−x2
!
√
1−x2 −z 2
√
− 1−x2 −z 2
(x2
1
dy dz dx.
+ + z 2 )1/2
y2