Life Change Units (or LCU) are a unit of psychological stress developed by Thomas Holmes and Richard Rahe in 1967. The equation for stress, as it relates to homework assignments, is given by the below equation, where x is the number of homework assignments given to a student in a semester, and S(x) is stress measured in Life Change Units. Once S(x) reaches 5, a student will snap and become liberal-arts major.
A Calculus teacher single-handedly got one of his students to switch to a Poetry major after taking his class. How many assignments did the teacher have to give if the student snapped at 6 Life Change Units? How much stress did the very last assignment give the student? Round your first answer to the next-highest integer, and the second answer to 3 decimal places.
(I tried looking in the back of the book, but there's just this scribbled note saying MAYBE I DON'T WANT TO BE A DOCTOR, DAD. MAYBE I WANT TO LIVE MY OWN LIFE!)