1. The problem statement, all variables and given/known data What is the direction and rate of maximum increase? f(x,y) = x^2 + y^3, v = <4,3>, P = (1,2) 2. Relevant equations 3. The attempt at a solution The direction should be as same as the gradient so < 2,12> The rate of maximum increase is magnitude of the gradient so sqrt(4+144) = sqrt(148). Is that right?