2010 AP Calculus AB Form A solutions (Official)

<p>Trapezoidal sum buddy? Assuming A and B are values of X, each trapezoid would be (B-A)* 1/2(f(A)+f(B)).</p>

<p>And the maximum as most people have already pointed out is at t = 12. t = 9 is only a relative extrema, you must check both endpoints to determine the absolute maximum.</p>

<p>I’m pretty sure it should be greater than 23.</p>

<p>I just looked at your work. You took a Right Riemann Sum, not a Trapezoidal Sum</p>

<p>trapizoial is ((B-A)/2(f(A)+f(B)))* (upper limit-lower limit)/n ???</p>

<p>Oh well, t = 12 is right I guess.
And, instead of trapezoidal, I used reimann sum :(</p>

<p>i gave up on a 5 now…</p>

<p>you can still get a 5!</p>

<p>So I did do (b) right! lol</p>

<p>But I think I still made a mistake, thinking that 5-2 = 2, rather than 3. I hate stupid mistakes.</p>

<p>anyone can put the answers for number 3?</p>

<p>3) </p>

<p>a) area under graph between 0 - 3
b) increasing because there is still more people going to the line then being accepted on the ride
c) t = 3 , 700 + intergral 0 - 3</p>

<p>d) forgot what i wrote and im to lazy to think!</p>

<p>And for Part C, it should be 23 - (∫(8→12) P(t)), rather than 112 - (∫(8→12) P(t)), seeing as E(t) represents the total number of entries at the given hours. Thus the answer should be 700 total entries left not yet processed by midnight.</p>

<p>i got what jersey just said… im still confused by the wording… if you read my earlier post</p>

<p>Oh man; I had 16 entries. I forgot two things: (1) The hundred (1600 entries), and (2) I forgot to subtract that from 2300 (which would have gotten me 700 entries, the right answer).</p>

<p>So many stupid mistakes are costing me points… I better not lose the 5. >=(</p>

<p>

do you not add 700?</p>

<p>webass, no because it says “How many people arrive at the ride”</p>

<p>You do not add the 700.</p>

<p>4.
a) ∫(0→6) y^2/4 dy</p>

<p>b) pi∫(0→9) (7-2x^(1/2))^2 - (7-6)^2 dx</p>

<p>c) ∫(0→6) 3(y^2/4)^2 dy</p>

<p>correct me if i am wrong</p>

<p>reading fail…</p>

<p>All 3 Calculator questions required almost no actual computation lol.</p>

<p>

For part B you forgot to include pi.</p>

<p>I made sure to only work on parts that absolutely required a calculator during the time when a calculator was allowed. I then went back and finished the sections that didn’t need a calculator on the calculator section during the time when calculator were not allowed.</p>