Question:

Sodium chlorate crystals are easy to grow in the shape of

Last updated: 8/11/2022

Sodium chlorate crystals are easy to grow in the shape of

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 mm³/mm) when x = 4mm. V'(4) = ________ mm³/mm Explain 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 mm³.