The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and y are measured in centimeters. Find the direction from point P where the temperature increases most rapidly and this rate of increase. T(x, y) = 80 − 3x2 − y2, P(−1, 5)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter6: Rates Of Change
Section6.1: Velocity
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The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and y are measured in centimeters. Find the direction from point P where the temperature increases most rapidly and this rate of increase. T(x, y) = 80 − 3x2 − y2, P(−1, 5)

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