7. You are standing at the point (1,0,2) on a mountain that is described by the equation: _ 2 2 z xy + 4xy + 2x a) If you choose to climb in the direction of steepest ascent, what is your initial rate of ascent relative to the horizontal distance? (2 marks) b) If you decide to go straight south, will you be ascending or descending? At what rate? (2 marks) 0) If you decide to maintain your altitude, in what directions can you go? (2 marks)