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According to Poiseuille's laws, the velocity V of blood is given by V= k (R -r2) where R is the radius of the blood vessel,

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According to Poiseuille's laws, the velocity V of blood is given by V= k (R" -r2) where R is the radius of the blood vessel, r is the distance of a layer of blood flow from the center of the vessel, and k is a constant. A patient takes blood vessel dilation medication so that her blood velocity is modeled by Poiseuille's law with k = 450.3. Find the rate of change of the blood velocity when R = 0.03 mm and R is changing at 0.008 mm per minute. Assume r is constant. The blood velocity is increasing at mm per minute each minute. (Round to the nearest thousandth as needed.)

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