Let $\mathbf { F } ( x , y , z ) = 4 x z \mathbf { i } + y \mathbf { j } + 4 x y \mathbf { k }$

Multiple Choice

Let $\mathbf { F } ( x , y , z ) = 4 x z \mathbf { i } + y \mathbf { j } + 4 x y \mathbf { k }$ and C be the boundary of the surface $9 - x ^ { 2 } - y ^ { 2 } = z$ above z = 0. Using Stokes' Theorem, $\int _ { C } \mathbf { F } \cdot \mathbf { T } d s$ is

A) 3
B) 2
C) 1
D) 0
E) -1