AP Calculus AB/BC Review 2024 - Day 3 of 4: FRQ Practice LIVE

For this livestream, I will cover free response questions that cover topics from units 1-10. I will point out key details that should be included in your FRQ responses to help you get as many points as possible on this part of the AP Calculus AB/BC exam.
Here are the questions I am covering:
drive.google.com/file/d/16NEy...

[@zubiplays9498]

1:50:45 ab ends

[@laoki5596]

Hi! Two questions: At 3:02:52, I understand the factorials can be cancelled, but isn't the coefficient we wrote with (x-2)^2n the general term for the Taylor Series of x? How does the Taylor Series have factorials if the general term doesn't? Also, at 3:13:16, isn't that a -1 when you cancel them out which would make the series at x=-1 become an alternating harmonic series thus convergent? By the way, I loved the stream and it was really helpful. Thank you!

[@alygaber309]

At 1:53:40 can I not just leave my answer as that expression, or do I have to simplify it to the final answer of -9?

[@mynormachado8887]

36:30 for the second frq in part c, I accidently put the integral from 0 to 4 of the velocity raised to the 2nd power inside of a square root instead of integrating the absolute value of the velocity, but i still ended up with the same answer. Would I still get some credit for that? I got the right answer I just did not set up the integral correctly.

[@trnl3313]

Yeah it's basically the absolute value opened. But its still better to show it in abs form