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 a is age in years. By examining Guilford County hospital records, they estimate the values for Guilford County to be a = 40 and b = 23. Using this model, estimate the rate of change of pressure with respect to time after 38 years. Round to the nearest hundredth (2 decimal places). millimeters per year

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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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 = 40 and b = 23.
Using this model, estimate the rate of change of pressure with respect to time after 38 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 = 40 and b = 23. Using this model, estimate the rate of change of pressure with respect to time after 38 years. Round to the nearest hundredth (2 decimal places). millimeters per year
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