2010 AP Calculus AB Form A solutions (Official)

<p>if i got </p>

<ol>
<li>a,b,d correct
2) a,c,d correct
3) all correct
4) all correct
5) a,b correct
6) a, part of C (still minor mistake)</li>
</ol>

<p>give or take a few points, what score do you think i got (number of points out of 54)?? any estimation would be great</p>

<p>A 67-71 is right around the cutoff for a 5.</p>

<p>ughh, right now Im feeling terrible, I need a stupid 5</p>

<p>You’re going to Stanford, no need to stress about AP Calculus :)</p>

<p>my conditional is a 4, so can someone please guess on the points i got ^^ look up</p>

<p>ber just wait :)</p>

<p>guess i have to study harder in bc…</p>

<p>its hard to wait i need to get into my school to do the course i want</p>

<p>any estimations appreciated</p>

<p>try talking to your teacher.</p>

<p>-_________________________-</p>

<p>Yeah, I’m definitely getting that 2. ■■■. What a waste of $90.</p>

<p>6 part c) did you guys get C = -5/8?</p>

<p>

</p>

<p>Well, someone posted this on the first page…and I disagree with most, so I’ll post what I got, and you guys can agree/disagree…</p>

<p>a) .(E(7) - E(5)) / (7 - 5) = 4 hundred of entries.</p>

<p>b). (1/8) * (1/2) * (2<em>(0+4)+3</em>(4+13)+2<em>(13+21)+1</em>(21+23)) =21.375 hundred of entries.</p>

<p>c). 23 - (∫(8→12) P(t)) = 7 hundreds of entries = 700 entries</p>

<p>d). They’re being processed when P(t) prime = 0 and check the endpoints.
P’(t) = 0 –> t = 9.18, 10.81. Test these AND the end points, and you find that the
greatest at t = 12.</p>

<p>Is this all correct?!</p>

<p>thats all correct</p>

<p>I did not do 1D that same way I thought each had to be seperately integrated since snow was being removed at different rates at different times according to the piecewise</p>

<p>Thanks Ber.</p>

<p>Jersey, I hope you’re still around. You posted the following for 4C…</p>

<p>c) ∫(0→6) 3(y^2/4)^2 dy</p>

<p>Shouldn’t it be…</p>

<p>c) ∫(0→6) 3(y^2/4) * (y^2/4)</p>

<p>Since the formula for area of a rectangle is length * height, not height squared? Anyone? thanks</p>

<p>Also for 4b…</p>

<p>b) pi * Integral(0, 9) of ((2sqrt(x) - 7)^2 + (6-7) ^2)</p>

<p>Is this also correct? i did it weirdly, but it gives the same answer as jersey if evaluated I think (since you square everything, negatives go bye bye)…thanks.</p>

<p>hahaha I take that back I misread what you had. did I do that right though? 1D I was kind of uncertain about</p>

<p>@yosup - (y^2/4) * (y^2/4) = (y^2/4)^2; they are the same thing…</p>

<p>Yes, but (y^2/4) * (y^2/4) = (y^2/4)^2 does not equal 3(y^2/4) * (y^2/4).</p>

<p>The latter is the correct answer.</p>

<p>Ah yeah didn’t see the 3 there. My bad.</p>

<p>But yeah, now I can’t remember whether I left it as (y^2/4) * (y^2/4) or (y^2/4)^2. Gah this is killing me, I need to know if I got a 5 or not! haha</p>

<p>Your answer is wrong either way.</p>

<p>Wait, they do mean the same if you square it first, right? I actually think they’re both the same now xD sorry, im really dumb.</p>

<p>I had a question about 6…here are my answers…</p>

<p>a) I had a bunch of incorrect crap written down. Then I got my brain together, and figured out what to do, and correctly figured it out y-2 = 8(x-1). The written crap won’t affect my score, will it? I forgot to cross it out.</p>

<p>b) plugged in 1.1 and got 2.8. BUT, I was dumb and said the tangent line was over estimate becasue if was concave up (instead of saying underestimate).</p>

<p>c) I only had time to separate the variables and integrate, but NOT calculate C.</p>

<p>How many points do you guys think I got for this? I’m guessing (hoping) for a 5/9? Thank you!!</p>