Question

Asked Dec 8, 2019

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Determine whether or not the vector field is conservative. If it is conservative, find a function *f* such that **F** = ∇*f*. (If the vector field is not conservative, enter DNE.)

F(x, y, z) = 3y^{2}z^{3} i + 6xyz^{3} j + 9xy^{2}z^{2} k

*f*(*x*, *y*, *z*) =

Step 1

To determine if the given field is conservative and find the potential function f(x,y,z).

Step 2

**Given:**

Step 3

Compute the curl of the vector field to det...

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