Question

given the vector field F (x(x^2+y^2+z^2)^-3/2 + (2yx^2Z^3+xsinxz))i+(y(x^2+y^2+z^2)^-3/2 -2xy^2z^3)j+(z(x^2+y^2+z^2)^-3/2 - (xe^xy+zsinx))k
compute the outward flux of F across the surface x^2+y^2=6y+7-z^2

Answer 1

(b) Let F(x,y,z)=-grad(1/√(x^2+y^2+z^2 ))+curl(e^xy,cos(xz),x^2 y^2 z^3). Compute the outward flux of F across the surface x^2+y^2=6y+7-z^2