1. The problem statement, all variables and given/known data Let S be the part of the surface z=49-(x2+y2)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. 2. Relevant equations Flux through surface equation ∫s F(x,y,f(x,y)) dot product (-fx i-fy j + k) dxdy 3. The attempt at a solution I used the equation to find flux through a surface plugging in F(x,y,(49-(x2+y2)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!