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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, 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. x v' (t) = 2 sin at 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? OA V(0) V()+ [V(x) d dx. 0 t V(t) = V(0) + √V'(x) dx. 0 Find the volume function V, assuming that V(0) = 14 L. V(t) = cos +13 (Type an exact answer.) ACCES b. What is the breathing rate in breaths/minute? The breathing rate is breaths/minute. (Type an integer or a simplified fraction.) ⒸB. V(t)= V(0)+ V'(t)dt. a b OD. V(0) V(t)+ V'(t)dt. Sv'(tdt.