<p>lets all brainstorm and try to predict what the FRQ will be on tomorrow's test!</p>
<ol>
<li>area under a curve</li>
<li>polar/parametric graph; find speed/acc/vel/position.</li>
<li>ab integral questions.</li>
<li>logistic diff. eq./ diff eq. / euler’s method</li>
<li>series!</li>
<li>grab bag</li>
</ol>
<p>polar functions- there hasn’t been a free response on polars since 2006
taylor series
logistic growth</p>
<p>I predict six questions in the FRQs.</p>
<p>I believe on 2007A there was a polar question.</p>
<p>Well, question 1 is definitely going to be area under a curve/volume when rotated around an axis/cross sections. There’s probably going to be an FRQ on either Taylor Polynomials/Lagrange error or power series, haven’t seen a test with both of those. Then maybe one where they give you a table of values and ask you to do stuff and use Riemann sums. </p>
<p>Hopefully there isn’t much with vectors >_<</p>
<p>I hope that Polar isn’t a FRQ…and that was 2007 when it was last on.</p>
<p>Area under Curve
Logistic Growth
Position/Velocity/Acceleration
Something with a Graph of a Derivative
Table of Values with MVT crap
Taylor Series with 1/1-x</p>
<p>Taylor? They did that in 2007. Its not really that common, is it?</p>
<p>what do we have to know on logistic growth…anyone wanna elaborate more on what regarding logistic growth we should know, my teacher did not really go over it too much. thanks</p>
<p>…a whole bunch of the test last year was on series and seq…which I hope they don’t repeat. </p>
<p>I like vectors. I hope there are a lot of those. Polars…we shall see.</p>
<p>Dude, they do taylor every year…really now…</p>
<p>Also, this year I think is a polar year, I revoke my previous answer. Seems like it comes up every two years. 2005, 2007, and now 2009.</p>
<p>noooooooooooo i hate polar x_x so basically all I need to know is how to find the area between curves and the derivatives? Will we need to know arc length/surface of revolution for polars? Also, how do you find the theta that will give u a specific x value on the calculator. Like on this one frq, it asked for the angle theta that would make x = -2, so the equation was something funky like -2 = cos theta + sin 2theta (probably not it exactly). On the calculator I can only input theta to find x values but not vice versa, help someone!!</p>
<p>this is SPARTA!</p>
<p>1) area between curves (rectangular and polar)
2) related rates
3) ??
4) Implicit Differentiation
5) Logistic/Population Growth
6) taylor series</p>
<p>I’ll get 0s on 5 and 6</p>
<p>It is pretty much guaranteed that there will be a series question on the free response. I do not think I have seen a past BC test without a series question (I have done the last nine or so for homework). Other common problems that I have noticed are the ones involving the area in between curves that also involve finding the volume of rotated objects using washers, the integral of pi r^2 dx. (I don’t think shells are on the AP test, they are the integral from the intersection points of 2pixydx) and also with cross sections parallel to an axis. I also have seen that Riemann sums with uneven intervals and interpreting the integral as the area under the curve are common.</p>