$z = 17 - x ^ { 2 } - y ^ { 2 }$

Multiple Choice

$\text { Let } \mathbf { F } ( x , y , z ) = x z \mathbf { i } + z y \mathbf { j } + 2 z ^ { 2 } \mathbf { k } \text { and let } S \text { be the surface bounded by }$ $z = 17 - x ^ { 2 } - y ^ { 2 }$
and $z = 0$ .
Verify the Divergence Theorem by evaluating $\iint_{S} \mathbf{F} \cdot \mathbf{N} d s$ as a surface integral and as a triple integral. Round your answer to two decimal places.

A) $85,538,800.97$
B) $63,235,739.36$
C) $3,735,184.02$
D) $63,235,747.36$
E) $5,294,083.13$