Determine whether or not the vector field is conservative. if it is, find a function f such that f=▽f. f(x, y,z)=3y2z3i+6xyz3j+9xy2z2kf(x, y,z)=+k

If is conservative, then there is a scalar function such that . This means

Integrate both sides of the first PDE wrt :

Differentiate wrt :

Differentiate wrt :

Then

so is conservative.

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length