Suppose that the temperature T, in degrees Celsius, at the point (r, y) is described by the function T(r, y) = 1160 – 2x² – 3y², where r and y represent the distance from the origin of the coordinate system, in meters.

Assume the bug is currently standing at the point (-10,5).

What is the temperature at the bugs current location?

At what rate does the temperature change in the x-direction at the point (−10, 5)?

At what rate does the temperature change in the y-direction at the point (−10, 5)?

The bug's body is dangerously close to its maximum temperature, and needs to cool down quickly.
In what direction should Flareon move from the point (−10, 5) so that the temperature decreases most rapidly?
At what rate does temperature change in this direction?