I don't know the correct answer.

1. Consider the function f(r,0,4) =1 cose. Determine v= Vf and w= VXv 2. Let f(x,y, z) = e-(x'ty+2?) (a) Find the cylindrical coordinate form of f = f(p, $, z) (b) Find the spherical coordinate form of f = f(r,0,4) (c) Find Vf in rectangular coordinate (d) Find Vf in cylindrical coordinate (e) Find Vf in spherical coordinate 3. Let v= xxy and consider the closed surface S as shown below figure. S 2 y N X (a) find V . v (b) find Qv . ds where S= S,+ S, + S, + s, +5+5 (c) find v . udu where 'V' means the above cube. (d) from (b) and (c), check the divergence theorem 4. If A= pcosop+ sinoo, evaluate J A . dl around the path shown in below figure. Confirm this by using Stokes' theorem. 2 60 130 0