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.

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Question

The flow of blood through an arteriole in cubic centimeters per second is given by
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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.
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Quizplus · Accepted Answer

The Answer of 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.
​
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The Flow of Blood Through an Arteriole in Cubic Centimeters