<p>^^Yeah, I think we have our last test sometime next week. Then I guess we’ll be reviewing. This course felt pretty short overall</p>
<p>I agree! I was surprised at how quickly we finished learning all of the material…</p>
<p>Does anyone else feel like the last BC topic (polar/parametric functions and vectors) is very hard? I thought series were substantially easier.</p>
<p>@analogous: Yes polar/parametric functions are sort of hard, but only one question shows up in the multiple choice section. I think in the free response section this topic shows up in part A, so you can use a calculator. </p>
<p>I took Calculus 2 during the fall. lol, so i finish a while ago. Anyway, now we can start preparing for the exam. </p>
<p>Free Response(1986)
Given the differential equation dy/dx = 2y - 5sin(x).</p>
<p>a)Find the general solution.
b)Find the particular solution whose tangent line at x=0 has slope 7.</p>
<p>Try your best!</p>
<p>After reading through this thread, I realized that I really need to start studying for this exam.</p>
<p>I’ve forgotten nearly everything. Whoops…</p>
<p>So how’s it coming along? I just realized that there’s quite I few things I forgot, MVT and certain integration techniques.</p>
<p>^^ for MVT, use the speeding up analogy so you won’t forget. For integration, if you can do trig substitution and integration by parts, you should be fine.</p>
<p>My teacher talks about the BIG 4 integration techniques:</p>
<p>by Parts
Trig Substitution
Trig with powers (e.g. (sec x)^5)
Partial Fractions</p>
<p>If you know those, you should be fine</p>
<p>partial fractions isn’t that bad, only that it takes too much time to decompose those bastards!! (even with the shortcut vedic math)</p>
<p>partial fractions aren’t that hard, I have a problem with trig subs: For example try this one:
integrate dx / [sqrt(x^2 - x - 20)] from 5-> 6.</p>
<p>^^ complete the square</p>
<p>actually you have to do a complete the square, a u-subsitution, and a trig sub. It gets kinda nasty at the end…</p>
<p>I think the toughest part of this are the revolutions and the damn sequences. It gets on my nerves sometimes.</p>
<p>Is that question even possible?</p>
<p>Any hints on memorizing formulas? ie. derivatives of inverse functions and etc?</p>
<p>I’m in BC, skipped over AB, and we just finished learning L’Hopital’s Rule and Improper Integrals. Think there’s enough time to learn the rest of the material before the AP in school or will I have to self-study a lot in the end?</p>
<p>^Well, my teacher taught the last 2 chapters (Sequences, Series, Parametric, Polar) in about 2 and a half months, which is what you guys have left. I think that you may need to self-study Parametric and Polar.</p>
<p>Can anyone provide a link to a good website or information about vectors? I’ve been looking over past AP tests and the questions on vectors are actually quite straightforward, esp. with a physics background, but I still want to make sure I cover what is required. I don’t have the last part of the textbook that contains this subject matter.</p>
<p>“by Parts
Trig Substitution
Trig with powers (e.g. (sec x)^5)
Partial Fractions”</p>
<p>I’ve never seen Trig Sub come up on the exam, though it is a good idea to have under your belt. Partial Fractions is also rare, but does show up here and there. You have to realize that they aren’t going to give you a single Open-Ended question on integration. Usually topics like maximization, related rates, distance traveled, parametrics, polars, taylor series, exponential growth, slope fields,etc. </p>
<p>Anyways, you guys should do great. Calc is a fairly easy AP, as far as how many you have to get right to score well. Good luck to you.</p>
<p>Mr Wheezy - “Any hints on memorizing formulas? ie. derivatives of inverse functions and etc?”</p>
<p>You absolutely need to know those ideas. They are crucial. You should know the derivatives, the integration of their results [ex. Integral(1/(x^2 +4)) = 1/2 arctan(x/2) ], the integration and derivative of each basic trig function, etc.</p>