Official AP Calculus Thread for 2009

<p>Actually the only difficult looking ones on Form B are some of #3 and #4 (I’m just looking at 2008). But I read through the answers and understand it completely so i should be fine if something like them pop up. :)</p>

<p><em>crosses fingers for a 5</em></p>

<p>When I was talking to my teacher she basically whispered to me and said I was pretty much the only capable one in my class of making a 5 lol. Now to not let her down…</p>

<p>can someone explain 5b, specifically why you set up the integral from 2 to -3 not -3 to 2
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<p>You can set it up that way, from -3 to 2, you just need at negative sign on the outside of the integral to account for the opposite direction of integration</p>

<p>so if your trying to find area under the f’ graph of the part of f’ before f’=0, you have to integrate in the opposite direction?</p>

<p>@ aznjunior</p>

<p>Because you identified x=2 as the best candidate and since it said that g(2)=5 you are working from there. Basically you are verifying the endpoints and seeing exactly what point has the most area at that point. That’s what it’s asking.</p>

<p>You don’t have to go from 2 to -3 as long as you put in the proper negatives. That’s just how they chose to write the solution. Notice that aren’t awarding any points for the integrand, just that you justified which was the largest. All you are doing is simple algebra to add up the blocks. :)</p>

<p>It’s actually before x = 2 in this particular case, because f(2) is the only value you know.</p>

<p>If you consider that integral(f '(x), x, -3, 2) = f(2) - f(-3), then f(-3) = f(2) - integral(f '(x), x, -3, 2) or f(-3) = f(2) + integral (f '(x), x, 2, -3), since integral(f '(x), x, -3, 2) = -integral(f '(x), x, 2, -3).</p>

<p>ok thanks, i just wanted make sure that i’m suppose to integrate in the opposite direction for that case to find the value since i need to use it in the next part</p>

<p>How do I do 6c and d? :o</p>

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<p>Edit: I just figured out c in my head lol. <em>remembers that dividing by 0 will make the world explode</em></p>

<p>Edit: NEVERMIND I FIGURED BOTH OUT</p>

<p>Is Newton’s Law of Cooling on the AB test?</p>

<p>For 6c, there is a vertical tangent when denominator of the derivative (dy/dx) is equal to zero because technically the tangent approaches either positive or negative infinity. So set 2(y^3+1) equal to 0 so you get the solution that there will be vertical tangents when y = -1. Plug y = -1 back into the original function to find the cooresponding x values to find the points where the curve has a vertical tangent.</p>

<p>For 6d, that derivative, dy/dx shows that there will be a horizontal tangent when x = 1 and that y must not equal -1, or else it’s a vertical tangent as found in part c. Then, find where the x intercepts are. So when y = 0, x^2 + 2x + 0 + must equal 5. If you plug in x = 1, you find that this equation does not hold true, therefore, the places where there are horizontal tangents are not on the x - axis.</p>

<p>i didnt see an exponential growth one on any of the past free response?</p>

<p>Correct me if I am wrong but I don’t believe people usually get form B. I thought form B was mostly for like all the people taking tests outside of the US or something different.</p>

<p>Yeah, for people in time zones significantly different that mainly here in the US. Like someone in Europe would get form B because by the time they finish, kids in like California wouldn’t have even started yet so they could, technically, be able to share information from the test to give the californian kids an advantage.</p>

<p>Will there be/has there been any FRQ relating to temperature?</p>

<p>Such as, The temperature of yesterday is given by T(H) = blah blah and stuff?</p>

<p>this is going to be a hot mess of an exam. Ugggh but I want those credits!</p>

<p>do you guys think that the princeton review practice exam questions are an accurate representation of the real test? or are they too easy?</p>

<p>I don’t know about the Princeton Review but what about Barrons? some of those questions in the diagnostics test section were hard!</p>

<p>Gia89: I’m using PR to cram right now, and I think the practice tests are harder. I barely get a 5 on the first test, and I bombed most of the FRQ’s on the 2nd and 3rd test…</p>

<p>^ yeah, i’m on the third practice test, but I never scored the others. I was just working them and/or looking up the answer explanations. But they seem hard and it’s making me worried. =/</p>

<p>Will there be/has there been any FRQ relating to temperature?</p>

<p>Such as, The temperature of yesterday is given by T(H) = blah blah and stuff?</p>