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

The length l, width w, and height h of a box change with time. At a certain instant the dimensions are l = 2 m and w = h = 3 m, and l and w are increasing at a rate of 7 m/s while h is decreasing at a rate of 5 m/s. At that instant find the rates at which the following quantities are changing.

(a) The volume.
m³/s

(b) The surface area.
m²/s

(c) The length of a diagonal. (Round the answer to two decimal places.)
m/s

Expert Solution

milcah answered 2 years ago

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