The length â„“, width w, and height h of a box change with time. At a...

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The length â„“, width w, and height h of a box change with time.At a certain instant the dimensions are â„“ = 4 m and w = h = 1 m,and â„“ and w are increasing at a rate of 8 m/s while h is decreasingat a rate of 2 m/s. At that instant find the rates at which thefollowing quantities are changing.

(a) The volume.

(b) The surface area.

(c) The length of a diagonal. (Round your answer to two decimalplaces.)

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SolutionaThe volume of the box is given byRate of change of    See Answer
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