1) z = \\36 - 9x2 - 4y? a) Draw a contour map using z = 0, 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 lim (x.y)-(0,0) ( x2 + y?) In(x2 + y?). 3) Find - for F(x, y) = sinxy + my' - x = 0. 4) If f(x, y) = =(x2 + 2y?) + 2 and v = (1,-V3), a) Find the derivative of f in the direction of v at (3, 2) b) Graph f showing the point P(3, 2, f(3,2)) and a tangent line at P in the direction of v