Calculus
10th Edition
ISBN: 9781285057095
Author: Ron Larson, Bruce H. Edwards
Publisher: Cengage Learning
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Textbook Question
Chapter P.4, Problem 10E
Boiling Temperature The table shows the temperatures T (in degrees Fahrenheit) at which water boils at selected pressures p (in pounds per square inch). (Source: Standard Handbook for Mechanical Engineers)
p | 5 | 10 | 14.696 (1 atmosphere) | 20 |
T | 162.24° | 193.21° | 212.00° | 227.96° |
p | 30 | 40 | 60 | 80 | 100 |
T | 250.33° | 267.25° | 292.71° | 312.03° | 327.81° |
(a) Use the regression capabilities of a graphing utility to find a cubic model for the data.
(b) Use a graphing utility to plot the data and graph the model.
(c) Use the graph to estimate the pressure required for the boiling point of water to exceed 300°F.
(d) Explain why the model would not be accurate for pressures exceeding 100 pounds per square inch.
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Chapter P Solutions
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P - Prob. 7RECh. P - Prob. 8RECh. P - Prob. 9RECh. P - Prob. 10RECh. P - Prob. 11RECh. P - Prob. 12RECh. P - Prob. 13RECh. P - Prob. 14RECh. P - Prob. 15RECh. P - Prob. 16RECh. P - Prob. 17RECh. P - Prob. 18RECh. P - Prob. 19RECh. P - Prob. 20RECh. P - Prob. 21RECh. P - Prob. 22RECh. P - Prob. 23RECh. P - Prob. 24RECh. P - Prob. 25RECh. P - Prob. 26RECh. P - Prob. 27RECh. P - Sketching a Line in the Plane In Exercises 27-30,...Ch. P - Prob. 29RECh. P - Prob. 30RECh. P - Finding Equations of Lines Find equations of the...Ch. P - Prob. 32RECh. P - Rate of Change The purchase price of a new machine...Ch. P - Break-Even Analysis A contractor purchases a piece...Ch. P - Prob. 35RECh. P - Prob. 36RECh. P - Evaluating a Function In Exercises 37-40, evaluate...Ch. P - Prob. 38RECh. P - Prob. 39RECh. P - Prob. 40RECh. P - Prob. 41RECh. P - Prob. 42RECh. P - Prob. 43RECh. P - Prob. 44RECh. P - Prob. 45RECh. P - Prob. 46RECh. P - Transformations of Functions Use a graphing...Ch. 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