1. The problem statement, all variables and given/known data surface of mountain is modeled by h(x,y)=5000-0.001x^2-.004y^2. Climber is at (500,300,4390) and he drops bottle which is at (300,450,4100) What is his elevation rate of change if he heads for the bottle? In what direction should he proceed to reach z=4100 feet the fastest, so that he can be on a constant elevation to reach his bottle? 2. Relevant equations 3. The attempt at a solution i solved for first question and got -.334 where i just found gradient and multiplied by unit vector and for the 2nd question im little confused.