10 14.696 (1 atm) 20 T 162.24 193.21 212.00 227.96 30 40 60 80 100 T 250.33 267.25 | 292.71 312.03 327.81 A model that approximates the data is T = 87.97 + 34.96 In p + 7.91 Jp. (a) Use a graphing utility to plot the data and graph the model. (b) Find the rates of change of T with respect to p when p = 10 and p = 70. (c) Use a graphing utility to graph T'. Find lim T'(p) and interpret the result in the context of the problem. p00
10 14.696 (1 atm) 20 T 162.24 193.21 212.00 227.96 30 40 60 80 100 T 250.33 267.25 | 292.71 312.03 327.81 A model that approximates the data is T = 87.97 + 34.96 In p + 7.91 Jp. (a) Use a graphing utility to plot the data and graph the model. (b) Find the rates of change of T with respect to p when p = 10 and p = 70. (c) Use a graphing utility to graph T'. Find lim T'(p) and interpret the result in the context of the problem. p00
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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163. modeling Data 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
of Mechanical Engineers)
Transcribed Image Text:10
14.696 (1 atm)
20
T
162.24
193.21
212.00
227.96
30
40
60
80
100
T
250.33 267.25 | 292.71 312.03 327.81
A model that approximates the data is
T = 87.97 + 34.96 In p + 7.91 Jp.
(a) Use a graphing utility to plot the data and graph the model.
(b) Find the rates of change of T with respect to p when
p = 10 and p = 70.
(c) Use a graphing utility to graph T'. Find lim T'(p) and
interpret the result in the context of the problem.
p00
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