1. The problem statement, all variables and given/known data 3. The height of a certain hill (in feet) is given by h(x, y) = 10(2xy − 3x2 − 4y2 − 18x + 28y + 12) where y is the distance (in miles) north, x is the distance (in miles) east of the village. (a) Where is the top of the hill located? (b) How high is the hill? (c) How steep is the slope (in feet per mile) at a point 1 mile north and one mile east of the village? In what direction is the slope steepest at that point? 2. Relevant equations 3. The attempt at a solution I would think that I would have to use the derivative test to get the extrema and go from there, but we didn't cover that material yet. How else can I approach this?