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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