BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.3, Problem 54E
To determine

To find : the temperature at which the volume of 1kg of water is a minimum

Expert Solution

Explanation of Solution

Given information : The question is

Between 0C and 30C , the volume V of 1kg water at a temperature T is given V=999.870.06426T+0.0085043T20.0000679T3

Graph : The graph of V as a function of T is shown

There appears to be minimum between T=1C and T=5C

Using the maximum command,

The maximum value of V is about 999.745 , and it occurs when T=3.966C

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 54E , additional homework tip  1

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 54E , additional homework tip  2

Interpretation : The temperature at which the volume of 1kg of water is a minimum is T=3.966C because the maximum value of V is about 999.745

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