In: Advanced Math
1) A morbid inquiry: Which is greater – the number of people alive in the world at this moment or the number of people that have died in all of history? Think about how integration is part of the analysis to this question. Also consider that the total human population of the earth is accurately estimated for all of recorded history – let this function be P (t)
a) Use an integral to define a function Q (t) that expresses the cumulative sum of people who have lived and died up to a date t .
b) Do some quick research and speculate on whether or not Q(t) ≥ P(t) at this point in time. Justify your answer.