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The Length ll , Width ww And Height hh Of a Box Change with Time

Question 18

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The length ll , width ww and height hh of a box change with time. At a certain instant the dimensions are l=3l = 3 and w=h=4w = h = 4 , and ll and ww are increasing at a rate of 10 m/s10 \mathrm {~m} / \mathrm { s } while hh is decreasing at a rate of 1 m/s\mathrm { m } / \mathrm { s } . At that instant find the rates at which the surface area is changing.

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