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, calculate the derivative when x = 5 mm. V'(5) = mm³/mm What does V'(5) mean in this situation? OV(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 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 rate at which the side length is increasing with respect to the volume as x reaches 5 mm. OV(5) represents the rate at which the volume is increasing with respect to the side length as V reaches 15 mm³.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
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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, calculate the derivative when x = 5 mm.
V'(5) =
mm³/mm
What does V'(5) mean in this situation?
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 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 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.
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, calculate the derivative when x = 5 mm. V'(5) = mm³/mm What does V'(5) mean in this situation? 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 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 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.
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