1. The problem statement, all variables and given/known data Find the set of points where the gradient of f is parallel to u =(1,1) for f(x,y)=x2 + y3 + 2xy 2. Relevant equations the gradient of f(x,y)=((partial derivative of f wrt x), (partial derivative of f wrt y)) u=grad f 3. The attempt at a solution fx = 2x+2y fy = 3y+2x 1=2x+2y 1=3y+2x x=1/2 y=0 I set the partials equal to the respective values of u and solved and got one set of points. I have a feeling this is wrong. I got x= 1/2 and y= 0 I looked through the notes and cannot find anything to help me with this so I came here in hope of getting pointed in the right direction.