Find a potential function for f or determine that f is not conservative. (if f is not conservative, enter not conservative.) f = cos(z), 10y, - x sin(z)

For to be conservative, we need to have

Integrate the first PDE with respect to :

Differentiate with respect to :

Now differentiate with respect to :

So we have

so is indeed conservative.

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.