Question:
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](https://media.kunduz.com/media/sug-question/raw/69388696-1657460561.6924417.jpeg?h=512)
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).