Thanks! What
@Illegal_Demon said is right. This morning when I did the number crunching, as all us old dudes have learned, you look at it and say, is that reasonable. As a damn engineering major with a math minor, I would not have been happy with myself, it sort of was a personal challenge. It was fun to make my brain work real hard again, thanks for posting.
And, good luck to the young engineering student! You tell him what I consider the best advice ever about calculus and advanced math, given to me by what remains as one of my best friends and the youngest man in the USA to have passed the actuarial exams; do your work, and all of the problems, and NEVER ask why!