1) z =

36 9x2 4y2 a) Draw a contour map using z 1, 2, 3, 4, 5, and 6. b) Draw the surface in 3 dimensions. 2) Let r 2 0 and use polar coordinates to find (x Eom(x2 + y2) In(x2 + y2). 3) Findfor = sin xy + ry2 x = O. = 2+2y2)+2 and (1. v'3, a) Findthederivativeoffinthe 4) If f(x.y) 4 (x direction of E at (3, 2) b) Graph f showing the point P(3, 2, and a tangent line at P in the direction of E.