Thank you sooo much CPhill these really helped me. One question though. For the second question, is that formula for asymptotes applicable to all hyperbolas or just this one specifically?
Yes, thanks for the help.
Yes, thanks.
Hmmm.... Cool, you learn something new every day!
I figured out the second one thanks. It's nice on these ones because you know the answer you have to get so if you don't get it you did something wrong.
Also, it's always been frustrating to my OCD personality that natural log is notated ln instead of nl.
Not sure how to do this algebraically, but this graph should help: https://www.desmos.com/calculator/tkhyvf9tjo
The intersections between the \(y=cos(x)\) line and the \(y=\frac{\sqrt{3}}3\) line should be your answer.
Thanks, CPhill. Some of these tick me off, because looking at how you did it, it was the same way I did, I just took one tiny wrong step and got WAYY off base.
Yeah, that answer is smarter than I am.
I got the same answer for c as the answer for b. Is that right?