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A Lady Bug Moves on the Xy-Plane According the The Equations

question 99

Essay

A lady bug moves on the xy-plane according the the equations x=2t(t8)x=2 t(t-8) , y=3ty=3-t .
Suppose that the temperature at a point (x, y)in the plane depends only on the y coordinate of the point and is equal to 4y24 y^{2} .Find the rate of change of the temperature at the location of the lady bug at time t.


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