The temperature at a point (x,y,z) is given byT(x,y,z)=200e^(-x^2-y^2/4-z^2/9) , where T is measured in degreesCelsius and x,y, and z in meters. just try to keep track of whatneeds to be a unit vector. a) Find the rate of change of thetemperature at the point (1, 1, -1) in the direction toward thepoint (-5, -4, -3). b) In which direction (unit vector) does thetemperature increase the fastest at (1, 1, -1)? c) What is themaximum rate of increase of T at (1, 1, -1)?
