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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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 37E
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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)

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
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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