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# Solved: (a) Sodium chlorate crystals are easy to grow in the shape of cubes by allowing

ISBN: 9780495011699 306

## Solution for problem 3.7.12 Chapter 3

Single Variable Calculus: Early Transcendentals (Available 2010 Titles Enhanced Web Assign) | 6th Edition

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Single Variable Calculus: Early Transcendentals (Available 2010 Titles Enhanced Web Assign) | 6th Edition

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Problem 3.7.12

(a) 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 when mm and explain its meaning. (b) Show that the rate of change of the volume of a cube with respect to its edge length is equal to half the surface area of the cube. Explain geometrically why this result is true by arguing by analogy with Exercise 11(b).

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