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. V'(t)= Π sin 6 (쯩) 6 a. Find the volume function V, assuming that V(0) = 8 L. Notice that V changes over time at a known rate, V'. Which equation below correctly gives the volume function? b OA. V(0)=V(t) V(0) = V(t) + SV'(t)dt. a t OB. V(t)=V(0) B. V(t) = V(0) + Sv'(x) d dx. 0 t •C. V(0) = V(t) + Sv'(x) c 0 dx. b ○ D. V(t) = V(0) + √v'(t)dt. a Find the volume function V, assuming that V(0) = 8 L. V(t)= (Type an exact answer.) b. What is the breathing rate in breaths/minute? The breathing rate is ☐ breaths/minute. (Type an integer or a simplified fraction.) c. What is the tidal volume and what is the total capacity of the lungs The tidal volume is ☐ liter(s). (Type an integer or a simplified fraction.) The total capacity of the lungs is liter(s). Tune an integer or a simplified fraction \