Find the divergence of the vector field F given by

Name: Find the divergence of the vector field F given by
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Question

Quizplus · Accepted Answer

To find the divergence of F, we take the dot product of the del operator (gradient) with F.

del · F = (∂/∂x)i + (∂/∂y)j + (∂/∂z)k) · (x^2y)i + (xy^2)j + (xz)k

= 2xy + y^2 + 1

Therefore, the divergence of F is 2xy + y^2 + 1.

We can see that the only option that matches this result is D, which gives the correct values for x, y, and z in the vector field.

Find the Divergence of the Vector Field F Given by