Suppose that at some time M = 30.0, dM/dt = 2.0 and dE/dt = 0.01 without setting a value for p. Find dp/dt for p = 0.1, p = 0.5, and p = 0.9. Is there are value of p for which dp/dt = 0? Can you explain what is going on?
We can describe the energy use of an organism with two tissue types by looking at the fraction of each type rather than the total mass of each as in Example 2.9.12, by writing
E = c1 (pM)0.75 + c2((1 - p)M)0.75.
Here p is the fraction of tissue of the first type. Suppose c1 = 0.01, c2 = 0.022.