Show all work for all parts on a paper, and then take a picture and upload. Please do not just type the answer.

Question 12 Consider the surface defined by z = f (x, y) =x+ y2 + 1 ( a) Draw and clearly label the contours for the heights 2= 0, 2 = 1, and ( b) Evaluate the gradient of f( x, y) at the point (x,y) = (0,-1), and draw the gradient vector on the contour diagram. ( c) Compute the directional deravative at ( x_ y) = (0,1) in the direation 3 = 62, 1) . (1) whitout calculation , identify the (xiy ) point where the global minimum of the function occurs on the domain shown, - 2 Exs2 and - 2 sy =2 Explain your answer dabriefly