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    Vector : Gradient

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    The temperature of a plate at the point (x,y) is given by T(x,y) = 300+ 3x^2 -2y^2. A heat hating ant is located at the point (3,2). In which direction will the ant begin to walk? Give a unit vector in that direction.

    © BrainMass Inc. brainmass.com March 4, 2021, 5:55 pm ad1c9bdddf
    https://brainmass.com/math/vector-calculus/vector-gradient-18495

    Solution Summary

    Gradients are employed to find a vector that results form greatest decrease in the function. The solution is well presented.

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