Math22lO Quiz 10 (Sections 13,4, 13.6, 13.7)
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Name
Dylan Zwick
Summer, 2012
Date 762O(Z
Instructions: Please show all of your work as partial credit will be given where appropriate, and
there may be no credit given for problems where there is no work shown. All answers should be
completely simplified, unless otherwise stated.
1. (20 points) Calculate the surface area of the part of the surface z=J4_y2
first octant that is directly above the circle 2
+4
x
=
y in the xy-plane.
in
the
:::
fT
dA
if
=cf
2
t/tL’tyi;
ul
jc/qy
çL
L
•° o
)o J-ii
LA
/
9 (i—c)
cA -4
s6
10
I
H-
LI
—
W€U
5
(
—
-
IcY
U
(°
dfl
Answer:
(cy&
5l1Lé
d&
d9
2
2. (10 points) Evaluate the iterated integral
z
ff f
2xyzdydxdz
010
-
so
i
IO
)
3’
o
U
=
3
-—
3
Answer:
3. (lOpoints) Calculate
dA
2
If e
S
,where S is the region enclosed by
2
2
x +y =4
R
Zc
JI_
I
q
C
ô
7
Answer:
ic:;)