Modeling Data The atmospheric pressure decreases with increasing altitude. At sea level, the average air pressure is one atmosphere (1.033227 kilograms per square centimeter). The table shows the pressures p (in atmospheres) at selected altitudes h (in kilometers). h0 5 10 15 20 25 1 0.55 0.25 0.12 0.06 0.02 (a) Use a graphing utility to find a model of the form p = a + b ln h for the data. Explain why the result is an error message. (b) Use a graphing utility to find the logarithmic model h = a + b ln p for the data. (c) Use a graphing utility to plot the data and graph the model from part (b).
Modeling Data The atmospheric pressure decreases with increasing altitude. At sea level, the average air pressure is one atmosphere (1.033227 kilograms per square centimeter). The table shows the pressures p (in atmospheres) at selected altitudes h (in kilometers). h0 5 10 15 20 25 1 0.55 0.25 0.12 0.06 0.02 (a) Use a graphing utility to find a model of the form p = a + b ln h for the data. Explain why the result is an error message. (b) Use a graphing utility to find the logarithmic model h = a + b ln p for the data. (c) Use a graphing utility to plot the data and graph the model from part (b).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 63E
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need to know the procedure to find the value of a and b, of the function h = a+blnp, given in the picture attached
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