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 t20, tis me 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 the tidal volume. Complete parts a through c below. V'(t)= T sin 2 a. Find the volume function V, assuming that V(0) = 14 L. Notice that V changes over time at a known rate, V'. Which equation below correctly gives the volume function? A. V(t)=V(0)+ V'(x) dx. Sva 0 OC. V(t)=V(0)+ b a (t)dt. Find the volume function V, assuming that V(0) = 14 L. t V(t)= 13+ cos 2 (Type an exact answer.) b. What is the breathing rate in breaths/minute? The breathing rate is 15 breaths/minute. (Type an integer or a simplified fraction.) c. What is the tidal volume and what is the total capacity of the lungs? t B. V(0)=V(t) + Sv'(x) dx. OD. V(0) V(t) + 0 b Sv(t)dt.