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The Flow of Blood Through an Arteriole in Cubic Centimeters

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The flow of blood through an arteriole in cubic centimeters per second is given by
The flow of blood through an arteriole in cubic centimeters per second is given by ​   ​ where l is the length (in cm) of the arteriole, r is its radius (in cm), p is the difference in pressure between the two ends of the arteriole (in dyne/cm2), and k is the viscosity of blood (in dyne-sec/cm2). Find the approximate percentage change in the flow of blood if an error of 2% is made in measuring the length of the arteriole and an error of 1% is made in measuring its radius. Assume that p and k are constant. ​ __________ %
where l is the length (in cm) of the arteriole, r is its radius (in cm), p is the difference in pressure between the two ends of the arteriole (in dyne/cm2), and k is the viscosity of blood (in dyne-sec/cm2). Find the approximate percentage change in the flow of blood if an error of 2% is made in measuring the length of the arteriole and an error of 1% is made in measuring its radius. Assume that p and k are constant.

__________ %


Definitions:

Annual Rate

The interest rate for a period of one year, often used as a benchmark for savings or loan interest calculations.

Investment

The process of distributing funds or other resources with the goal of earning returns or profits.

Interest

The cost of borrowing money or the profit from lending money, usually expressed as a percentage rate over the period of one year.

Months

Units of time used in calendars that approximate the period required for the moon to complete its orbit around the Earth, commonly divided into 12 periods in a year.

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