Problem 5. Let f(:1:,y) : 1 3:2 3?. (a) Compute fmfy (b) What are. the domains of fx and fy? (c) Compute fTT. Problem 6. Compute the following limit, or show it does not exist: eat3' 1 lim . swam) 37 3; Problem 7. The temperature at a point (any) on a at metal plate is given by 60 1 + 3:2 + y21 Where T is measured in OC and 515' and y in meters. Find the rate of change of the temperature with respect to distance at the point (2: 1) in the .7:- direction. TEL?! : Problem 8. Let f be a function and b a real number such that 3 f1: = 592 + OLE/y, fy 2 31:3; + 4332. 1 PROBLEM SET 5: DUE \\VEDNESDAY, OCTOBER 26TH 2 What is the value of b? Give an example of such a function f