<p>I need someone to tell me everything they know about Taylor series because i have this Fast Track book the school gave us and it doesn’t make sense… or I’ll say screw it because I know a kid last year who studied everything but series and still got a 5. lol. But I got a solid 3 on the practice exam so I’m not that strong on the other things… gotta cram!</p>
<p>Here is ALL you need to know about taylor series.</p>
<p>f(x) = (f^(n)(x)(x-a)^(n) ) / (n!) for f(x) centered at a and f^(n) (x) is the nth derivative. For example f(x) is the zero derivative, f^1 (x) is the first derivative and so on.</p>
<p>Thumbs up :)</p>
<p>@cortana
I think you meant to put the n’th derivative at a, not at x.</p>
<p>On the 2008, scale, you need at least 68 out of 108 to get a 5. They said this would apply till the May 2011 examination. Does that mean 76 out of 108 (about 70% of the exam correct) would guarantee a 5?</p>
<p>Just finished taking the exam! I’m overseas, so I’m about 12 hours ahead. I believe there are separate formats for the international exams to prevent cheating due to the time zone differences, but in case the topics are similar, here’s a warning: make sure you know your Taylor/Maclaurin series well. Very, very well. Actually, make sure you know about anything and everything related to series.</p>
<p>Best wishes to all of you! You are all incredibly smart and talented - I’m willing to bet that many of you will end up doing much better than you were expecting. :)</p>
<p>let’s make a list of all the questions</p>
<p>wow… I think i might’ve passed! if I get a 4 I would absolutely die with happiness… XD</p>
<p>The test managed to concentrate overwhelmingly on the stuff I didn’t really have down. And is 3d no longer part of the curriculum? Revolutions, related rates… that’s all the easiest stuff but I don’t remember having a single question on those.</p>
<p>There were no solids of revolution questions on my exam either (I took the international version). On the other hand, there were definitely lots of things having to do with series and Riemann sums/other methods of value estimation.</p>
<p>AP Curve please!</p>
<p>Well…this was a shocker exam. So glad that I prepared for most of it too.</p>
<p>Anyways, here’s what I was shocked about the most.</p>
<p>-No Disk/Washer problems that ask you to calculate the volume.
-Like half of the exam was filled with convergence tests and MacLaurin/Taylor series
-Every year, an area problem would appear on the free-responses (an exception was 2007 in which an uproar happened soon after). Guess what happened this year?
-In my view, the questions were very conceptual. </p>
<p>Let’s face it, CollegeBoard was a huge dick this year.</p>
<p>I rather liked the test, primarily because I felt that there were fewer tedious computational things. However, the no-calculator Free response was annoyingly computational. I’ve never been that careful when multiplying easy numbers together!</p>
<p>Did anyone think the No-calculator MC part hard?</p>
<p>Yeah I thought the calc was easier than the noncalc mc for some reason…
And @Rasen888, I thought the taylor and maclaurin series weren’t hard though…only one or two were super hard</p>
<p>Do you guys think the curve will be harsh?</p>
<p>Can we talk about FRQ yet?</p>
<p>That was amazing. The FRQs were relatively simple, but the MC was OK. Everyone post your answers for your FRQs and lets talk about them.
How did you do 6b, the one that talked about an alternating series?!?</p>
<p>For the frq that was euler’s method and approximation, the answers were all around 20 right?</p>
<p>@usernameinvalid
The answers were like 16 and 18ish if i remember correctly.
@darthead123, I thought it was simple too *highfive
6b was the taylor inequality one
So what you had to do was first relate the 2n’d nonzero term to being a 3rd degree taylor polynomial. Then the next term would be (x^5)/7 … you plug in 1/2 for that to get a number less than 1/200…and that was it. Pretty simple if you know what a taylor inequality or a lagrange error bound is and where it comes from.</p>