Compute magnitude and direction of steepest gradient of f(x,y)=xey + yex at the point (0,0). Write direction as the unit vector. Determine and classify all local minima, local maxima and saddle points for function f(x,y)=4xy-x4-y4.
The particle moves along the path described by x=2t2,y=3/2t2+7. Determine distance traveled from rest di, at time ti by the particle following parametric path. Determine velocity and acceleration vectors at time t. At what time to are velocity and acceleration orthogonal?