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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 (in mm³/mm) when x = 5 mm. ✓(5) - mm³/mm Explain the meaning of V'(5) in the context of this problem. O V(5) represents the rate at which the side length is increasing with respect to the volume as x reaches 5 mm. O V(5) represents the volume as the side length reaches 5 mm. O V'(5) represents the rate at which the volume is increasing with respect to the side length as V reaches 15 mm³. O V(5) represents the rate at which the volume is increasing as x reaches 15 mm. O V'(5) represents the rate at which the volume is increasing with respect to the side length as x reaches 5 mm.

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 (in mm³/mm) when x = 5 mm. ✓(5) - mm³/mm Explain the meaning of V'(5) in the context of this problem. O V(5) represents the rate at which the side length is increasing with respect to the volume as x reaches 5 mm. O V(5) represents the volume as the side length reaches 5 mm. O V'(5) represents the rate at which the volume is increasing with respect to the side length as V reaches 15 mm³. O V(5) represents the rate at which the volume is increasing as x reaches 15 mm. O V'(5) represents the rate at which the volume is increasing with respect to the side length as x reaches 5 mm.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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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. V'(5) = mm³/mm Explain the meaning of V'(5) in the context of this problem. O V'(5) represents the rate at which the side length is increasing with respect to the volume as x reaches 5 mm. O V'(5) represents the volume as the side length reaches 5 mm. O V'(5) represents the rate at which the volume is increasing with respect to the side length as V reaches 15 mm³. O V'(5) represents the rate at which the volume is increasing as x reaches 15 mm. O V'(5) represents the rate at which the volume is increasing with respect to the side length as x reaches 5 mm. (in mm³/mm) when x = 5 mm.
Transcribed Image Text: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. V'(5) = mm³/mm Explain the meaning of V'(5) in the context of this problem. O V'(5) represents the rate at which the side length is increasing with respect to the volume as x reaches 5 mm. O V'(5) represents the volume as the side length reaches 5 mm. O V'(5) represents the rate at which the volume is increasing with respect to the side length as V reaches 15 mm³. O V'(5) represents the rate at which the volume is increasing as x reaches 15 mm. O V'(5) represents the rate at which the volume is increasing with respect to the side length as x reaches 5 mm. (in mm³/mm) when x = 5 mm.
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