The temperature at a point (x, y) on a rectangular metal plate is given by T(x, y) = 100 3x²+x² (a) Find the rate of cha

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The Temperature At A Point X Y On A Rectangular Metal Plate Is Given By T X Y 100 3x X A Find The Rate Of Cha 1 (29.89 KiB) Viewed 26 times

The temperature at a point (x, y) on a rectangular metal plate is given by T(x, y) = 100 3x²+x² (a) Find the rate of change of T at the point (2, 6) in the direction of the vector (-3,-4) (b) At the point (2, 6), find a unit vector in the direction in which the temperature increases the fastest. (c) What is the maximum rate of change of T at the point (2, 6)? Round your answer to 4 decimals. Enter your answer symbolically, as in these examples Round your answer to 4 decimals. Enter the components of the unit vector separated with a comma.