Multivariable Calculus

13. Find the flux of F over the closed surface using the outer normal to S. F(x, y, z) = > and S is the surface bounded below by z = x2 + (y - 2) and bounded above by x2 + (y - 2)2 + (z - 4)2 = 4(2 2 4). a) Set up an iterated integral to find this directly as a type I. DO NOT EVALUATE! a. b) Using an appropriate theorem find the flux over S in cylindrical coordinates. State the name of the theorem you are using. DO NOT EVALUATE! b