The temperature at a point (x, y,z) is given by t(x, y,z) = 200e−x2 −(y2/4) − (z2/9), where t is measured in degrees celcius and x, y, and z in meters. there are lots of places to make silly errors in this problem; just try to keep track of what needs to be a unit vector.1-find the rate of change of the temperature at the point (0, 1, 2) in the direction toward the point (0, -2, 2)? 2-in which direction (unit vector) does the temperature increase the fastest at (0, 1, ? , ? , ? )3-what is the maximum rate of increase of t at (0, 1, 2)?