October 2010 - Math II

<p>I think I got 120 for the heartbeat question… all you had to do for that one was plug in a number right?</p>

<p>longcat93, I got 60 heartbeats. 1 heartbeat per period, and the period was one second, so 60 heartbeats in 60 seconds = 60 heartbeats in 1 minute.</p>

<p>I got 120 heartbeats. And symmetric about the origin.</p>

<p>Does anyone have data for math II curves from previous years?</p>

<p>Guys, a function that is identical to its inverse is not necessarily symmetrical about the origin. Think about a parabola that is angled 45 degrees and symmetrical along the y=x line. It is NOT symmetrical about the origin, and yet its inverse is identical to the original parabola.</p>

<p>Oh, I missed that part on the periods… grr… I was already rushing it at that point :/</p>

<p>you sure it’s 60 heartbeats… i got 120, because i thought you had just plug in a number?</p>

<p>something like the equation was</p>

<p>F(x) = 120 + 25sin(2piX) </p>

<p>or something like that?</p>

<p>@longcat
didn’t that equation just give the heart pressure? and you were supposed to find the period to get hearbeat? idr that question very well</p>

<p>Yeah, but that was the equation for blood pressure, not heartbeats. O_o They specifically said there’s 1 heartbeat per period. The period of that function is 1 second, so it’s 1 heartbeat/1 second = 60 heartbeats/1 minute.</p>

<p>oh man… hopefully there’s going to be a big curve</p>

<p>the second part of the test… was like hard.</p>

<p>here’s sparknote’s scoring chart if it helps anyone.</p>

<p>800 50 570 18
800 49 560 17
800 48 550 16
800 47 540 15
800 46 530 14
800 45 520 13
800 44 510 12
800 43 500 11
790 42 490 10
780 41 480 9
770 40 470 8
760 39 450 7
750 38 440 6
740 37 430 5
730 36 420 4
720 35 410 3
710 34 400 2
700 33 390 1
690 32 380 0
680 31 370 –1
680 30 360 –2
670 29 350 –3
660 28 340 –4
650 27 330 –5
640 26 320 –6
630 25 310 –7
630 24 300 –8
620 23 300 –9
610 22 290 –10
600 21 290 –11
590 20 280 –12
580 19 280 –13</p>

<p>No, to find the period of a sinusoidal function, you divide 2pi by the coefficient of the variable, so 2pi/2pi = 1. Also, just thinking logically, 120 heartbeats/minute is very fast. . . . Like exercising fast, LOL.</p>

<p>@collegetips: “Hey Yamster & NYJ(& any post after #50)…you guys are talking of the US test aren’t you?The earlier posts were of International test.But since they too said the first part of test was relatively easier than the last part,so I’m wondering if both are the same test?Highly unlikely to be same questions,but still curious.”</p>

<p>No. I’m referring to the Math II exam.</p>

<p>BTW everyone…you didn’t need to use 2 circles. I got the answer “x=y” by simply drawing two lines. It still works.</p>

<p>Kean, keep in mind the following:</p>

<p>-In order for a graph to be a function, it must pass the vertical line test (in other words, there are no x values mapped to multiple y values).</p>

<p>-Only one-to-one functions have inverses (unless you manipulate the domain/range of the original function for the inverse function).</p>

<p>-In addition to the geometric definition of an inverse function, an inverse function is also defined algebraically to be a function such that f(f^-1(x))=x. Furthermore, the domain and range of a function and its inverse have been swapped.</p>

<p>what other hard questions were there? my mind is coming at a blank after the second part of the test. -.-</p>

<p>For the area of the triangle one, I actually used calculus to find the integral… got 13.5… then decided it didn’t look like 13.5 and GUESSED 9. ■■■.</p>

<p>@Extelleron - Oh I understand that fact, but when you narrow the pool from the entire population taking the Math II / other SATIIs to those applying to Ivies, the gap is narrowed quite a bit.</p>

<p>I only took the SATIIs for Harvard, Princeton, and I think one or two other schools that I’m applying to that require them, so I will need scores that match the quality.</p>

<p>Yamster…I’m referring to MATH 2 test too.But the first 2 pages on this thread are the International guys posting about the INTERNATIONAL test of this same test(see the time zone),later posts are of the US test.Both tests can’t logically be having the same questions,right?
That’s what I’m curious about.</p>

<p>Does anyone remember whether or not that interest rate problem was yearly or semiannually? the one where the interest rate was 4.8% and the initial value was like 100 or something and you needed to find the time when it was 300</p>

<p>IAmCool-I think the answer was log 3/ log 1.048 or something.
And, it was annually.</p>