Find the Flux of the Vector Field F Across the Surface

Multiple Choice

Find the flux of the vector field F across the surface S in the indicated direction.
- $\mathbf { F } ( \mathrm { x } , \mathrm { y } , \mathrm { z } ) = 7 \mathrm { x } \mathbf { i } + 7 \mathrm { yj } + 2 \mathbf { k } , \mathrm { S }$ is the surface cut from the bottom of the paraboloid $\mathrm { z } = \mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 }$ by the plane $z = 2$ , direction is outward

A) $120 \pi$
B) $- 208 \pi$
C) $24 \pi$
D) $104 \pi$