Official 2008 Calculus AB FRQ Discussion

<p>TheMathProf, I feel pretty stupid here, I'm not getting your arguement as it seems contradicting to me, so would you add the 120 or not and why?</p>

<p>I would not add 120. The presence of a line for people waiting to buy tickets at time 0 does not mean that those people bought the tickets before time 0. They probably did buy tickets, but after time 0, and are already accounted for in the r(t) equation that is already provided. When we take the integral from 0 to 3 of r(t) dt, my claim is that those people in line at time t = 0 are already being counted, and therefore, adding 120 to the integral will double-count them.</p>

<p>Sheed30's argument seemed to be that 120 tickets were already sold at time t = 0, and thus needed to be added to the accumulation, at least as I understand the argument. My counter to that is that the 120 people were merely in line, and thus had not yet purchased tickets, and that therefore there was no initial value of ticket sales that needed to be accounted for.</p>

<p>Oh, I see what you mean, darn it, I got it wrong then. How many points do you think I lost for adding 120 to the final answer?</p>

<p>i just watched Stand and Deliver.. weird haha</p>

<p>Probably 1 at the most, nanoscaled.</p>

<p>I don't understand 3c. I'm sure you guys are right, but I felt the question was not consistent with 3b. Since 60,000 cubic cm oil has already leaked, shouldn't the time be starting at 30 (constant rate of 2000 cubic cm per minute) minutes? Why should we say that at t = 0, there is 60,000 cubic cm of oil already leaked? t = 0 should represent the time in which oil started to leak; not the time in which the recovery device started. Whatever. I'll accept the point deduction and I understand the official reasoning, but due to stress/anxiety that is how I approached the question during test day.</p>

<p>2b "A recovery device arrives on the scene and begins removing oil...where t is the time in minutes since the device began working."</p>

<p>2c "By the time the recovery device began removing oil, 60,000 cubic centimeters of oil had already leaked"</p>

<p>Basically, the question tells you that t=0 is when the recovery device started working.</p>

<p>Bleh, I didn't do too bad. Just got the two limits on 5c and 6d wrong. Hope they weren't worth too much.</p>

<p>does any one know if there is a calc bc thread if not lets start one</p>

<p>PAHreen: It really doesn't matter, but that's just how the question defined it. I think it would be okay if you solved the question using your definition of t, but you'd have to specifically state what you meant by t. But the question asks specifically for their t.</p>

<p>deanis15: There is. Look for it.</p>

<p>You probably what have to use a different variable (instead of t) and define that variable for the problem, since t is already defined for their problem.</p>

<p>But if you said something along the lines of "Let u = number of minutes since the oil spill started" and defined everything in terms of u, then I think you would be in perfect shape.</p>

<p>I knew this one person this year who could never quite seem to tell what the question was asking who told me that he put "Let u = number of minutes since the recovery device started working" and put everything in terms of u, and as best I can tell, he'll be fine, since he specified what u represented, even though a variable already existed for that purpose. But it seems hokey to me.</p>

<p>Ahh. I love nerds. <3
(Yes, I’m one of them.)</p>