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15. A mathematical model for blood flow in a large blood vessel predicts that the optimal values of the angles A and (2, which represent the (positive) angles of the smaller daughter branches (vessels) with respect to the axis of the parent branch are given by cose = Ao + A; - A; A8 - A + A3 and 2 AA, cos 02 = 2 AOA2 where A, is the cross-sectional area of the parent branch and A, and A, are the cross-sectional areas of the daughter branches. See FIGURE 4.6.3. Let d = 9, + 0, be the junction angle, as shown in the figure. Blood flow FIGURE 4.6.3 Branching of a large blood vessel in Problem 74 (a) Show that Costly - 4i - A; - A] (b) Show that for the optimal values of , and 6, the cross-sectional area of the daughter branches, A, + Ay, is greater than or equal to that of the parent branch. Therefore, the blood must slow down in the daughter branches