Question: In an example from an earlier chapter, the velocity v of the blood in a blood vessel was given as v = k(R 2 -

In an example from an earlier chapter, the velocity v of the blood in a blood vessel was given as v = k(R² - r²), where R is the (constant) radius of the blood vessel, r is the distance of the flowing blood from the center of the blood vessel, and k is a constant. Total blood flow (in millimeters per minute) is given by Q(R) || R Jo 2vr dr.

(a) Find the general formula for Q in terms of R by evaluating the definite integral given above.
(b) Evaluate Q(0.4).

Q(R) || R Jo 2vr dr.

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