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The Flow of Blood Through an Arteriole in Cubic Centimeters

question 36

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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 4% is made in measuring the length of the arteriole and an error of 3% is made in measuring its radius. Assume that p and k are constant. ​ A)    B)  ​   C)  ​   D)  ​   E)  ​
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 4% is made in measuring the length of the arteriole and an error of 3% is made in measuring its radius. Assume that p and k are constant.


Definitions:

Demand

The desire and ability of consumers to purchase goods and services at different prices, contributing to determining the market demand.

Utility Function

A mathematical representation of how a consumer's preferences over bundles of goods relate to their satisfaction or utility.

Consumption

The use of goods and services by households or individuals, which is a primary component of economic activity.

Income

The cash flow generated out of work or investments, typically on a steady basis.

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