Two separate rabbit populations are observed for 80 weeks, starting at the same time and with the same initial populations. The growth of two rabbit populations are modeled as follows, where t ! 0 corresponds to the beginning of the observation period: r1(t)=4sin((2pi/72)t)+0.1t+1, where r1 is rabbits per week, and t is time in weeks, r2(t)=t^(1/2), where r2 is rabbits per week and t is time in weeks.

A)What's the physical significance of the area between the two curves from time t=0 until the first time where the two rates are the same? What does the area represent?

Question

Two separate rabbit populations are observed for 80 weeks, starting at the same time and with the same initial populations. The growth of two rabbit populations are modeled as follows, where t ! 0 corresponds to the beginning of the observation period: r1(t)=4sin((2pi/72)t)+0.1t+1, where r1 is rabbits per week, and t is time in weeks, r2(t)=t^(1/2), where r2 is rabbits per week and t is time in weeks. 

A)What's the physical significance of the area between the two curves from time t=0 until the first time where the two rates are the same? What does the area represent?