Let F be the vector field F = (14x – x³, – y³, – }z*) Compute the normal at the point (1,1,1) to the closed surface S in R³ which maximizes the value of the flux integral F. nds Here, the surface is...

Extracted text: Let F be the vector field F = (14x – x³, – y³, – }z*) Compute the normal at the point (1,1,1) to the closed surface S in R³ which maximizes the value of the flux integral F. nds Here, the surface is oriented so that its normal points outward. Make sure the normal you get has unit length.