Question

calculus

The length l, width w, and height h of a box change with time. At a certain instant the dimensionsare l = 9 m and w = h = 8 m,and l and w are increasing at a rate of 3m/s while h is decreasing at a rateof 2 m/s. At that instant find the rates at which the following quantities are changing.

find(a) volume(m^3/s)

(b) surface area(m^2/s)

(c) length (m/s)

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