Friday mind stretch!
Apologies for not posting anything in this category for FOUR months (my mind was simply stretched in other directions! 🙂
First, the answer I owe you for the last challenge, the Quickest Descent: the cycloidal path is the quickest descent as the ball reaches a high speed earlier and uses it to race ahead of the other balls on the shorter paths.
Now, the next challenge is to reduce a mathematical expression to its simplest form. I took it from a book filled with such exercises, a book well-known to Romanians growing up in 20th century Romania. The exercises were made by Grigore Gheba, one of the great mathematical minds in a long line of Romanian professors. The book belonged to my grandfather, himself a fantastic math teacher who taught many students, myself included.
This expression is one of the easy ones and it has a neat answer. Check it out next week! Here’s the exercise: