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Suppose That T(x,y)=x2+3y2xT ( x , y ) = x ^ { 2 } + 3 y ^ { 2 } - x

question 61

Essay

Suppose that T(x,y)=x2+3y2xT ( x , y ) = x ^ { 2 } + 3 y ^ { 2 } - x is the temperature (in degrees Celsius)at the point (x,y)( x , y ) (where x and y are in meters).If you are standing at the point (2,1)( - 2,1 ) and proceed in the direction of the point (6,3)( - 6 , - 3 ) , will the temperature be increasing or decreasing at the moment you begin? At what rate? Give your answer to 4 decimal places.


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