2011 Calculus BC Free Response #6d
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You missed writing 4! when writing in the Taylor polynomial (P4(x)).
UltraMaXAtAXX 5 months ago
@sug15 you could but for this part of the exam you can't use a calculator so it wouldn't be possible to evaluate f(x) because we would need to know sin(1/16) and cos(1/4) right off from our heads. So we have no choice but to use the Lagrange Bound method. However I could be wrong about the calculator part I'm not american.
JamieBYRNE777 5 months ago
why can't you just evaluate the taylor polynomial and the function at 1/4 then find their distance apart and check if it's under 1/3000?
sug15 5 months ago
Thank you for using that board & the nice colors. Easier for me to see details.
one23itsjustme 5 months ago
Extraordinary video and I deeply appreciate you taking the time to make it. In your Sine Taylor Series at 0 (Maclaurin) video at 5:13 you say that 0 is even and that you weren't going to get into all of that, could you make a video getting into all of that? :) Wikipedia talks about it, but it does not explain it. It simply says: " Zero is an even number, because it is divisible by 2. 0 is neither positive nor negative." I find that a little confusing.
arabidopsis1 5 months ago