Can these please be answered on paper with a step by step explanation

4.) Draw a contour map of the function f(x,y) = y sec x, showing several level curves. 5.) Given f(x,v,z) = y2e*%, P(0,1,1), u = ( d. b. & d 3 4 12 Find the gradient of /. Evaluate the gradient at the point P. Find the rate of change of f'at P in the direction of the vector u. Find the maximum rate of change of fat P. 6.) Find the local maximum and minimum values and saddle points of the function fx,y) =xy2x-2yx*y