5. High-frequency lung ventilation, a strategy to improve gas exchange in the lung, adds a small highfrequency component to the volume oscillations: V(t)=V0[1+cos(2ft)]+V1cost Assume that the lung is viscoelastic and obeys the following relation: P(V)=aV+bdtdV where a and b are positive constants. A) Let's say =50f and V1=0.1V0. Find the heat generated in the lung tissue during one breathing cycle, in terms of V0,f,a, and b. B) In general, the high-frequency component will increase the average heat generation rate over the baseline level. Find the ratio of heat generation rates for baseline (i.e., no high-frequency component and high-frequency ventilation as a function of . [Hint: It may be helpful to rewrite PdV as the integral over time PdtdVdt.]