A simple model for the flow of air in and out of the lungs of a certain mammal is given by the following equation, where V(t) (measured in liters) is the volume of air in the lungs at time t≥0, t is measured in seconds, and t=0 corresponds to a time at which the lungs are full and exhalation begins. Only a fraction of the air in the lungs is exchanged with each breath. The amount that is exchanged is called the tidal volume. Complete parts a through c below. 元 V'(t) = -3 sin 'πt' a. Find and graph the volume function V, assuming that V(0) = 12 L. Notice that V changes over time at a known rate, V'. Which equation below correctly gives the volume function? b Sv'(t)dt. OA. V(0)=V(t)+V'(t)dt. a t V(t) = V(0) + SV'(x) dx. c. Vit Find the volume function V, assuming that V(0) = 12 L. V(t)=(Type an exact answer.) B. V(0)=V(t) + ·Sv'(x) dx. 0 b D. V(t) = V(0) + SV'(t)dt. a