I need help with this Q

1. Consider the function 2 = f (11!, y) = my (3.) Draw a contour map for the function for k = 2, 1, 0, 1, 2. Clearly label each contour (you may do so as in ex. 11 in section 14.1, by using colors or dashed, dotted etc lines). (b) Find the partial derivatives (c) Find the gradient, and the magnitude of the gradient ((1) If you're on the surface at the point P(%, 2, f %, 2) ) in which direction should you travel to minimize your rate of ascent? Leave answer as a unit vector. (e) Add to your graph and label 1. the gradient vector at (%, 2) and 2. the vector you found in the previous part. (f) Compute the (unit) directional vector, 1\"), of the tangent line to the contour k=1 at point %, 2) and add this to your graph. (g) Find Vf ,2) 43