"LET THE REAL EXPERT WORK ON IT"

1 1 Let F(x, y, z) = ( xx 2 + 4 2 + 2 2) 3 / 2 ( 5 , y , Z ) for ( x, y, z) = (0, 0, 0). (a.) work out V . F and simplify your result carefully, (b.) Calculate SR F . dS where SR = {(x, y, z) | x+, y +,z = R } oriented outwards. (c.) Explain why you could not use the Divergence Theorem in the previous part