Show all work to receive any credit. Correct answers without supporting work will receive NO credit! 1. My friend, Alex Tricity, the most electric person I know, asked me why his answer to a directional derivative problem was wrong. He stated that his answer was Daf (2, -2) = 57 + 20227. Explain why his answer cannot be correct so he doesn't get all amped up 2. Find the direction of maximum increase for f (x,y) = sin (x + 2y) at the point -3x # : 8 , and calculate Daf (J. 8 -37 in that direction . Verify your answer by calculating | |Vf *, -37 3. A steep mountain is described by the plane z = ar + by + c, where a, b and c are constants. Find the direction in the ry - plane, at a point (To, yo), that corresponds to the path of steepest path up the mountain