And $S$ Is $z = \sqrt { 25 - x ^ { 2 } - y ^ { 2 } }$

Multiple Choice

$\text { Use Stokes's Theorem to evaluate } \int _ { C } \mathbf { F } \cdot d r \text { where } \mathbf { F } ( x , y , z ) = x ^ { 2 } \mathbf { i } + z ^ { 2 } \mathbf { j } - x y z \mathbf { k }$ and $S$ is $z = \sqrt { 25 - x ^ { 2 } - y ^ { 2 } }$ .Use a computer algebra system to verify your result.

A) 10
B) 9
C) 11
D) 7
E) 0