Please help with Calc III, Divergence Theorem question
Please help with Calc III, Divergence Theorem question
Use the Divergence Theorem to calculate the net outward of the vector field F = <xz, z, z^2> across the surface S that is the union of the parabaloid z = 4 - x^2 - y^2 for z>= 0 and the disk x^2 + y^2 <= 4 on the xy plane.
So the divergence theorem is ∬(over S) F dot n dS = âˆ(over D) ∇ dot F dV where n is the outward unit normal vector on S.
if i use the "volume * the ∇F form...my ∇F = < z, 0, 2z>...but then how would i evaluate that over the volume?
Would it be more convenient to use the F dot n form? ...how would you then find the normal vector?
Thanks for any help...I will award best answer and really appreciate the time
No Answers Posted Yet.