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A plane is heated in an uneven fashion. The coordinates(x,y)(x,y)of the points on this plane are measured in centimeters and the temperatureT(x,y)T(x,y)at the point(x,y)(x,y)is measured
A plane is heated in an uneven fashion. The coordinates(x,y)(x,y)of the points on this plane are measured in centimeters and the temperatureT(x,y)T(x,y)at the point(x,y)(x,y)is measured in degrees Celsius.An insect walks on this plane and its position afterttseconds is given byx=19+2t???????x=19+2tandy=2+ty=2+t.Given that the temperature on the plane satis?esTx(5,5)=2Tx5,5=2andTy(5,5)=5Ty5,5=5,what is the rate of change of the temperature along the insect's trajectory at timet=3t=3?dTdt=dTdt=??cm/sGive the exact answer
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