Let S be the ellipsoid(x/4)² + ( y/3 ) ² + (z/2) ²= 1

Last updated: 7/10/2022

Let S be the ellipsoid(x/4)² + ( y/3 ) ² + (z/2) ²= 1. Calculate the flux of F = zi over the portion of S where x, y, z ≤ 0 with upward-pointing normal. Hint: Parametrize S using a modified form of spherical coordinates (θ,ϕ).