$\"\"$

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Velocity $\"\"$ of the blood that flows in a vessel with radius $\"\"$ and length $\"\"$ at a distance $\"\"$ fom the central axis is $\"\"$ .

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Where, $\"\"$ is pressure difference between the ends of the vessel and $\"\"$ is the viscocity of the blood.

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Find the average velocity over the interval $\"\"$ .

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Average value of the function $\"\"$ on $\"\"$ is defined as $\"\"$ .

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Here $\"\"$ .

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Average velocity of $\"\"$ is $\"\"$ . $\"\"$

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$\"\"$

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$\"\"$ .

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Average value of the velocity is $\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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Differntiate on each side with respect to $\"\"$ .

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$\"\"$

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Determine the maximum velocity by equating $\"\"$ to zero.

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$\"\"$

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$\"\"$ .

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Velocity reached its maximum, when $\"\"$ .

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Therefore, maximum velocity is

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$\"\"$

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Compare the average velocity with maximum velocity.

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$\"\"$ and $\"\"$ .

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$\"\"$

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Hence the average velocity is $\"\"$ of the maximum velocity. $\"\"$

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Average value of the velocity is $\"\"$ .

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Average velocity is $\"\"$ of the maximum velocity.