The height of a hill (in feet) is given by , where is the distance north, is the distance east of South Hadley.
(a) Where is the top of the hill located.
So . Then what? Set it equal to ?
(b) How high is this hill?
This is the magnitude of ?
(c) How steep is the slope (in feet per mile) at a point mile north and one mile east of South Hadley? In what direction is the slope steepest at that point?
Plug in value in gradient and find magnitude?