Applications 3. After a race, a runner's pulse rate, in beats per minute (bpm), can be modeled by the function R(t) =145e -0.0927 Osts 15, where t is measured in minutes. a) Find an appropriate viewing window and sketch a graph of the function. b) What is the runner's pulse rate immediately after the race has ended? c) Find the runner's pulse rate 1 minute after the race has ended. d) How long, to the nearest minute, after the race has ended will the runner's pulse rate be 80 bpm? (Solve algebraically, check graphically)