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 dv (in mm/mm) when x = 5 mm. dx x, find . V'(5) = mm/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 rate at which the volume is increasing with respect to the side length as V 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. O v'(5) represents the rate at which the volume is increasing as x reaches 15 mm. O v'(5) represents the volume as the side length reaches 5 mm.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
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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
(in mm/mm) when x = 5 mm.
dx
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 rate at which the volume is increasing with respect to the side length as V reaches 15 mm³.
O v'(5) represents the rațe at which the volume is increasing with respect to the side length as x reaches 5 mm.
O v'(5) represents the rate at which the volume is increasing as x reaches 15 mm.
O v'(5) represents the volume as the side length reaches 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 dv (in mm/mm) when x = 5 mm. dx 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 rate at which the volume is increasing with respect to the side length as V reaches 15 mm³. O v'(5) represents the rațe at which the volume is increasing with respect to the side length as x reaches 5 mm. O v'(5) represents the rate at which the volume is increasing as x reaches 15 mm. O v'(5) represents the volume as the side length reaches 5 mm.
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