Answer to Question #322852 in Vector Calculus for Neyoclass

Question

Compute the divergence of the vector field exy2i+x+2yj

Select one:

A. exy2+2

B. y2+2

C. 2exy

D. exy2+2x+y

Answer 1

$F=e^xy^2i+\left( x+2y \right) j\\divF=\frac{\partial \left( e^xy^2 \right)}{\partial x}+\frac{\partial \left( x+2y \right)}{\partial y}=e^xy^2+2\\A\,\,is\,\,correct$