3. given f(x, y) = x - y^2, (a) sketch the following level curves of f(x, y) on the xy-plane: f(x, y) = 0,1,2,-1,-2. (b) find vf(3,-1). (c) in which direction does f have the maximum rate of change at (3,-1)? what is the maximum rate of change?

Meghan has created a diagram of her city with her house, school, store, and gym identified. a. how far is it from the gym to the store? b. meghan also wants to walk to get some exercise, rather than going to the gym. she decides to walk along arc ab. how far will she walk? round to 3 decimal places.