An insect is moving on the surface of a hot plate, the temperature of which at the point x units to the right of the lower left corner and y units up from the lower left corner is given by T(x,y)=100−x^3−3y^2 . If the insect is at the point (1,3) in what direction should it move in order to maintain its temperature?

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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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An insect is moving on the surface of a hot plate, the temperature of which at the point x units to
the right of the lower left corner and y units up from the lower left corner is given
by T(x,y)=100−x^3−3y^2
. If the insect is at the point (1,3) in what direction should it move in order
to maintain its temperature?

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