On a metal plate in the shape of a rectangle, the temperature at a point (x,y) is given by; 100 3x² + y² T(x, y) = A) find the rate of change of T at the point (5,8) in the direction of the vector (-3,-4). Your answer should be written to 6 decimal places. b) at point (5,8) find the unit vector in the direction in which the temperature increases the fastest. Your answer should be written symbolically and should not have any decimal places. Write the components of the unit vector separately

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