The length , width w, and height h of a box change with time. At a certain
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The length ℓ, width w, and height h of a box change with time. At a certain instant the dimensions are ℓ = 1 m and w = h = 2 m, and ℓ and w are increasing at a rate of 2 m/s while h 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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a Vlwh so by the Chain Rule JV dl av dw l dt w dt dV dt v dh h ...View the full answer
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