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2. (15 points) The length l, width 11), and height h of a rectangular box change with time. At a certain instant the dimensions are l = l m and w = h = 2 m, and l and w are increasing at a rate of 2 m/s While h is decreasing at a rate of 3 m/s. At that instant nd the rates at which the following quantities are changing. (a) The surface area (b) The length of the diagonal (c) Find the magnitude of the gradient of the volume of the box at the given point and explain its meaning