Math2210 Quiz 5 (Sections 11.9, 12.1, 12.2)
Summer, 2008
Dylan Zwick
Name ________________________________________ Date ______________
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. Convert
−2,

, 2 from cylindrical to spherical coordinates.
4
Answer: ___________________________________
2. Convert
2
r cos 2 = z to Cartesian coordinates.
Answer: _______________________________________________________
2
3. (5 points each) Let
f  x , y = 3 x y −2  y −1 .
xy
(a) Find
f 2, 1 = ______________________
(b) Find
1 2
f  ,t  = ____________________________________________________
t
(c) What is the domain?
(d) Find
Domain: ____________________________________________________
f x 2,1 = ___________________________________________________________________