The length _, width , and height of a box change with time. At a certain instant the

Chapter 14, Problem 39

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The length _, width , and height of a box change with time. At a certain instant the dimensions are and m, and _ and are increasing at a rate of 2 m_s while is decreasing at a rate of 3 m_s. At that instant find the rates at which the following quantities are changing. (a) The volume (b) The surface area (c) The length of a diagonal

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