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 = ___________________________________________________________________