Question: The formula V = kr 4 , discovered by the physiologist Jean Poiseuille (17971869), allows us to predict how much the radius of a partially

The formula V = kr⁴, discovered by the physiologist Jean Poiseuille (1797–1869), allows us to predict how much the radius of a partially clogged artery has to be expanded in order to restore normal blood flow. The formula says that the volume V of blood flowing through the artery in a unit of time at a fixed pressure is a constant k times the radius of the artery to the fourth power. How will a 10% increase in r affect V?

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