- (20 points) Let z = f(x, y) = e-(²+²) model a mountain. (a) If a hiker standing at (.) wishes to descend as quickly as
Posted: Fri Jul 08, 2022 5:34 am
- (20 points) Let z = f(x, y) = e-(²+²) model a mountain. (a) If a hiker standing at (.) wishes to descend as quickly as possible, in what direction must she walk? b) How steep is the slope from (4,1) in the direction of u =(2, 2). This means that you have to find the directional derivative z = f(x, y) in the u direction. e) Find an equation of the tangent plane to := f(x,y) = e(+²) at the point (1) where the hiker is standing.