Consider the surface S consisting of the portion the graph of the function z = x2 + y² above the annulus 64 sx2 + y² s 81. Choose the normal vector n to the surface which has positive third component. A) Give a parametrization of S in terms of the variables r,0 from cylindrical coordinates r(r,0) = y B) Consider the vector field F = x² + y² Vx? + y² Write a double integral in terms of r,0 which computes the flux of F across S: 02 r2 Flux= dr de 01 r1 01 = 02 = r1= r2=

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