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Multivariable & Vectoreasy
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The temperature distribution on a metal plate is modeled by T(x,y)=20−x2−3y2T(x, y) = 20 - x^2 - 3y^2T(x,y)=20−x2−3y2. A small bug is located at the point (2,1)(2, 1)(2,1) and begins crawling in the direction of the positive yyy-axis. What is the rate of change of temperature experienced by the bug at the moment it starts moving?