- #1

leext101

- 5

- 0

## Homework Statement

Let S be the part of the surface z=49-(x

^{2}+y

^{2})

^{2}above the xy-plane, oriented upward.

Let vector field F= (yz) i +(xz) j + (-17+xy) k

Compute the flux of F through S.

## Homework Equations

Flux through surface equation ∫

_{s}F(x,y,f(x,y)) dot product (-f

_{x}i-f

_{y}j + k) dxdy

## The Attempt at a Solution

I used the equation to find flux through a surface plugging in F(x,y,(49-(x

^{2}+y

^{2})

^{2}) for the vector field, I took the dot product. I believe the limits are -sqrt(7)≤x≤sqrt(7) and -sqrt(7)≤y≤sqrt(7). The answer I integrated out was -476 which was incorrect.

I appreciate your time and help!