2 PROJECT C Problem 3: Lets return to our coffee example using our new and improved model. You notice that you feel the affects of the caffeine most after about 40 minutes of drinking the coffee. a. Using your answers to Problem 1 and Problem 2 c., solve for a. b. Now that you have a and b, find k to determine the formulae for A(t) and B(t). c. Using one of the root approximation techniques that we have learned about this semester, find out when B(t) = 30 so you know how long you will have to wait to go to sleep