Assignment 2 (Due November 25th at 5pm) 1. Find the maximum and minimum of the function f(x, y ) = xty-x2-yz on the circle x2 + y2 = 1. 2. Use implicit differentiation to find oz where -23 +y x + 32 x= 0. 3. Find the volume of the "ice cream cone" bounded by z = Vx2 + y2 and the paraboloid z = 2- (x2 + y2). 4. Calculate S ds where C is the arc of the curve y = 2 -x2 from 2 R such that Vf(x, y, z) = F(x, y, z). c) Compute Sc F.dr where C is a curve with the initial point (1, 0, -1) and the terminal point (2, 1, 0). 8. Calculate S So sin(x - y) dxdy where D = { ( x , y ) ; 0 +>