Mathematics

Mathematics

Problem

65. Circulation of Blood Research conducted at a national health research project shows that the speed at which a blood cell travels in an artery depends on its distance from the center of the artery. The function v=1.19−1.87r2v=1.19-1.87 r^{2} models the velocity (in centimeters per second) of a cell that is rr centimeters from the center of an artery. ![](https://storage.googleapis.com/diraq-contents/question-bank/question-images/00f578ceecc5/2025_11_21_dcfe37ceeb51b74c3162g-10.jpg) ![](https://storage.googleapis.com/diraq-contents/question-bank/question-images/4c79e2e27541/2025_11_21_dcfe37ceeb51b74c3162g-10.jpg) (a) Find a graph of vv that reflects values of vv appropriate for this problem. Record the viewing-window dimensions. (b) If a blood cell is traveling at 0.975 cm/sec0.975 \mathrm{~cm} / \mathrm{sec}, estimate the distance the blood cell is from the center of the artery.

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