Math22lO Quiz 4 (Sections 14.8, 14.9)
Summer, 2012
Name___________________ Date
Dylan Zwick
7/6l0/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.
Name the type of quadric surface given by
5
Al
J
0
$ec
_
/
If
o€
O1(I/e,
5C
e
//
Type of surface:
2.
2 +4y
9x
2 +25z
2 —16 z0
Name the type of quadric surface given by
—
16x
—
+
2
90=9
36z
4y
I
(6
/
41/
/6
/
fcc
/
o ciiie
fAeI)
l
1
d/e///1/
i
Type of surface:
/
50
CJ(Q7
a) Change
3.
(4,
3rr
,
—i—)
from cylindrical coordinates to Cartesian.
()2
V(o()
i/)
()2
Y]T
(
Answer:
b) Change
-
(4/, —4,6) from Cartesian coordinates to cylindrical.
/-)
tn(-’)
-
(i”
Answer:
6)
y to the following coordinates:
+
x
—
2
=
81
9z
4. Change
a) Spherical
—
p
(5fM
-yc(c?)
—
Answer:
b) Cylindrical
y
1-
r
Answer:_____________