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39. Bone mass In Example 1.1.6 we found an expression for
the mass m of a human femur of length L in terms of the outer
radius r, the inner radius rin, and their ratio k = lin/r. More
generally, if the bone density is p, measured in g/cm°, then
bone mass is given by the equation
trạL[p - (0 - 1)k?]
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m =
It may happen that both p and k change with age, t.
P
(a) If p changes during aging, find an expression for the rate
of change of m with respect to t.
(b) If k changes during aging, find an expression for the rate
of change of m with respect to t.