Let $\mathbf { F } ( x , y , z ) = x z \mathbf { i } + x y \mathbf { j } + y ^ { 2 } \mathbf { k }$

Multiple Choice

Let $\mathbf { F } ( x , y , z ) = x z \mathbf { i } + x y \mathbf { j } + y ^ { 2 } \mathbf { k }$ s and C be the boundary of the surface consisting of $z = 4 - x ^ { 2 }$ in the first octant cut by y = 3, and the coordinate planes. Using Stokes' Theorem, $\int _ { C } \mathbf { F } \cdot \mathbf { T } d s$ is

A) 36
B) 40
C) 42
D) 45
E) 48