Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly intervals thereafter. Aftert months, the average score S(t), as a percentage, was found to be given by the following equation, where S(t): 68 20 In (t+1), t a 0. ****(Round to one decimal place as needed)*** a) What was the average score when they initially took the test? b) What was the average score after 4 months? 0) What was the average score after 24 months? d) What percentage of their original answers did the students retain after 2 years (24 months)? e) Find S'(t). f) Find the maximum value (if it exists) 9) Find lim S(t) and discuss its meaning