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A research group developed the following mathematical model relating systolic blood pressure and age: P(x) = a + bln(x + 1), where P(x) is pressure, measured in millimeters of mercury, and x is age in years. By examining Guilford County hospital records, they estimate the values for Guilford County to be a = 37 and b = 25. Using this model, estimate the rate of change of pressure with respect to time after 15 years. Round to the nearest hundredth (2 decimal places). millimeters per year

A research group developed the following mathematical model relating systolic blood pressure and age: P(x) = a + bln(x + 1), where P(x) is pressure, measured in millimeters of mercury, and x is age in years. By examining Guilford County hospital records, they estimate the values for Guilford County to be a = 37 and b = 25. Using this model, estimate the rate of change of pressure with respect to time after 15 years. Round to the nearest hundredth (2 decimal places). millimeters per year

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A research group developed the following mathematical model relating systolic blood pressure and age: P(x) = a + bln(x + 1), where P(x) is pressure, measured in millimeters of mercury, and x is age in years. By examining Guilford County hospital records, they estimate the values for Guilford County to be a = 37 and b = 25. Using this model, estimate the rate of change of pressure with respect to time after 15 years. Round to the nearest hundredth (2 decimal places). millimeters per year
Transcribed Image Text:A research group developed the following mathematical model relating systolic blood pressure and age: P(x) = a + bln(x + 1), where P(x) is pressure, measured in millimeters of mercury, and x is age in years. By examining Guilford County hospital records, they estimate the values for Guilford County to be a = 37 and b = 25. Using this model, estimate the rate of change of pressure with respect to time after 15 years. Round to the nearest hundredth (2 decimal places). millimeters per year
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