T(x,y) = x^2 -y^2 +xy+ 20 represents the temperature at a point (x,y) of the xy

Question

T(x,y) = x^2 -y^2 +xy+ 20 represents the temperature at a point (x,y) of the xy plane. Units of temperature measured in celcuis and units of distance measured in centimeters

1) what is the temperature at the point (4,1)?

2) Find the direction(as given by a vector) in which the temperature is increasing most quickly at the point (4,1) and the rate(C/m) in that direction

3) what is the rate (C/m) at which the temperature is changing in the direction of the vector <3,4> from the point (4,1)?

4) In what direction is the temperature changing at a rate of -5.7 C/cm from the point (4,1)?

**please explain and show work on how to get answers, to understand please****

Explanation / Answer

(a)=39

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