A normal breathing cycle consists of inhaling followed by exhaling. Assume that one complete breathing cycle occurs every 5 seconds, with a maximum airflow rate of 0.6 liters per second. If the function f(t) = A sin Bt is used to model this process, where f(t) gives the airflow at time t, what are the values of A and B?

Answer:The value of A and B are 0.6 and [tex]B=\frac{2\pi}{5}[/tex] respectively.Step-by-step explanation:Consider the provided Information.It is given that one complete breathing cycle occurs every 5 seconds, with a maximum airflow rate of 0.6 liters per second. Therefore, period is 5 second and amplitude (A) is 0.6[tex]period=\frac{2\pi}{B}[/tex][tex]5=\frac{2\pi}{B}[/tex][tex]B=\frac{2\pi}{5}[/tex]Substitute the required value in [tex]f(t) = A \sin Bt [/tex][tex]f(t)=y =0.6\sin (\frac{2\pit}{5}) [/tex]The value of A and B are 0.6 and [tex]B=\frac{2\pi}{5}[/tex] respectively.The graph of is shown below: