Question

Using Stokes' Theorem, compute the flux of the curl of the vector field:

F(x,y,z)= 6yz i - 24x j + yze^(x^2 + arctan(z)) k

Across the surface S (oriented upwards) of the paraboloid z=y^2 + x^2, z is greater than or equal to 4, with the boundary z=4, x^2 + y^2=4.

Answer 1

is it not\[z \le 4\]

Answer 2

No, says z=4 in the question.