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Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a...

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Calculus

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Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and sodium chlorate to evaporate slowly. If V is the volume of such a cube with side length x, find (dV/dx) (in mm/mm) when x = 4mm.V'(4) = ________ mm/mmExplain the meaning of V'(4) in the context of this problem.(A) V'(4) represents the rate at which the volume is increasing with respect to the side length as x reaches 4 mm.(B) V'(4) represents the volume as the side length reaches 4 mm.(C) V'(4) represents the rate at which the side length is increasing with respect to the volume as x reaches 4 mm.(D) V'(4) represents the rate at which the volume is increasing as x reaches 12 mm.(E) V'(4) represents the rate at which the volume is increasing with respect to the side length as V reaches 12 mm.

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