The flow rate F through a vessel is proportional to the fourth power of the radius, or

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The flow rate F through a vessel is proportional to the fourth power of the radius, or
F(r) = ar4.
Suppose a = 1.0/cm s. How close must r be to 1.0 cm to guarantee a flow within 5% of 1 mL/s?
Find the accuracy of input necessary to achieve the desired output accuracy.
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