(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

show that the force [tex]F(x,y) = (x^{2}+3y+11)\widehat{x} + (3x +5y^{3}+11)\widehat{y}[/tex] is conservative

2. Relevant equations

it's conservative if [tex]\nabla X F = 0[/tex]

3. The attempt at a solution

ok, I know how to take the gradient of a function like F(x,y) = x^2 + 3xy + 3 + y, but I'm not sure how to take the gradient of the function for this question. I've tried many things, including taking the partial derivative of x within the brackets next to the x unit vector, and the partial derivative of y within the brackets next to the y unit vector.

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# Homework Help: Conservative force

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