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

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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:
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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!

laoki
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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?

alygaber
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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.

mynormachado