<p>got a 5 on the sparknotes diagnostic!!! but yeah, it was way harder than the practice tests from collegeboard that i took</p>
<p>anyone care to explain number 2 part d?
<a href=“College Board - SAT, AP, College Search and Admission Tools”>College Board - SAT, AP, College Search and Admission Tools;
i get the error bound value, but the explanation part makes no sense!</p>
<p>Can somebody explain how to do Lagrange/error remainder stuff?</p>
<p>cocoforcollege, the actual function value is equal to the remainder plus the polynomial approximation, so if the remainder is 4 at the most, then the function value would have to be -1 (= -5 + 4) at the most, guaranteeing that f(0) is negative.</p>
<p>cocoforcollege: The 3d degreetaylor polynomial is always going to be greater than f(x). You can tell this by looking at the third degree taylor poly, and seeing all those negatives. If that taylor polynomial was carried out to n = infinity, it would make the thing a lot smaller as each term will be negative (when talking about x=0). So it is fair to assume that the 3d degree taylor is greater tahn f(x) at x=0. Then u take into account the error bound, and you add that to the approximation from part c to find out what the greatest possible value f(x) could take with this error. That value is -1. Thus f(x) is always negative.</p>
<p>jubilee27: do u understand taylor series? If so, lagrange error is the error associated with the nth degree taylor. When given what f n + 1th derivative is less than or equal to, you can calculate the error bound associated by taking the next term using the taylor series formula and then plugging in x.</p>
<p>jubilee27, watch this video:</p>
<p>[Error</a> or Remainder of a Taylor Polynomial Approximation - YouTube](<a href=“Taylor polynomial remainder (part 1) | Series | AP Calculus BC | Khan Academy - YouTube”>Taylor polynomial remainder (part 1) | Series | AP Calculus BC | Khan Academy - YouTube)</p>
<p>it explains pretty well the langrange error and remainder</p>
<p>Anybody have any quick resources for polar or convergence tests? Probably the only areas I might get tripped up.</p>
<p>thank you nikhilbg and mathwizard! that really helped!(=
Are there any easy to forget details anyone would suggest going over that’ll be on the test?</p>
<p>Ahh thanks @mathwizard1 for the videos! Wish I’d watched them when I was actually learning the stuff. I wish my teacher were more focused on teaching and less on coaching haha. Fingers crossed.</p>
<p>Whats the formula for the sum of a geometric series? is it An/(1-r)? and it diverges if greater than 1? Anyone know a good video to learn power series?
-Also, does polar show up on the FRQ’s? my ap book says its only one question on the multiple choice, but i saw it in a released frq once or twice.
Thanks and Good Luck!</p>
<p>nervousjim: the formula is a1/(1-r) which is the first term of the series divided by 1-r. diverges if r > 1.
polar shows up sometimes on frqs, i think you should definitely review it for tomorrow.</p>
<p>Anyone who’s stuck on a topic should refer to these videos:
[Calculus</a> - YouTube](<a href=“Calculus - YouTube”>Calculus - YouTube)</p>
<p>Good luck tomorrow everyone!!! I have my fingers crossed for a 5.</p>
<p>anyone have a condensed list of the convergence tests?
here’s a study sheet compilation for all the AB material <a href=“http://tutorial.math.lamar.edu/pdf/Calculus_Cheat_Sheet_All.pdf[/url]”>http://tutorial.math.lamar.edu/pdf/Calculus_Cheat_Sheet_All.pdf</a>
also, what’s the chance there’ll be Euler’s method on the FRQ section? it’s just about the only thing i’m fully confident about at this time.</p>
<p>^lol, agreed. Euler’s method is dope. I hope there is</p>
<p>here’s a condensed list of convergence tests:</p>
<p><a href=“http://www.math.hmc.edu/calculus/tutorials/convergence/convergence.pdf[/url]”>http://www.math.hmc.edu/calculus/tutorials/convergence/convergence.pdf</a></p>
<p>Can anyone explain telescoping?</p>
<p>I’m getting nervous. I took AP Chem yesterday and actually failed it. I need to do well on this for tomorrow…lol good luck everybody in advance!</p>
<p>thank you again, mathwizard!
um isn’t telescoping just cancelling out terms that equal zero when you’re doing series? like, when you have to do the maclaurin for cos x, every other term cancels out. this doesn’t pose a problem if you memorized the series for some of the important functions, though.
also, does anyone understand 6 b and c on <a href=“College Board - SAT, AP, College Search and Admission Tools”>College Board - SAT, AP, College Search and Admission Tools;
For 6b, how do they come up with 1/n as the value of the base? and 6c just blows over my head completely.</p>
<p>[eq4m3</a> - Tinychat](<a href=“Live video chat rooms, simple and easy. - Tinychat”>Live video chat rooms, simple and easy. - Tinychat)</p>
<p>CALC REVIEW</p>
<p>Yeeep. Good luck guys. I’ve forgotten how to find out if integrals/series converge/diverge when it’s not obvious. (not that I ever really understood that anyway, I literally just guessed like crazy on that test and pulled off a 90) xD any tips?</p>
<p>p.s. don’t forget really easy stuff. like, it’s a point of inflection because f’’ changes sign, not f’’=0.</p>