October 2010 - Math II

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<p>There was a plane and a line perpendicular to the plane (so its going through the plane). The question asked for the set of points that were some distance (i cant remember) from the line and some other distance from the plane.</p>

<p>I also found the first half to be great, and then the second half was very tough.
Can we discuss questions and answers? Start posting more stuff that you remember…
Quick one: #18 i think was like if f(x) = rad X and X= t^2 and t=y
a) y= root X</p>

<p>e) y=log base 2 X </p>

<p>Dont remember choices B, C, or D.
Thanks</p>

<p>well the first condition formed an open cylinder…and the second one defined a set of points on that cylinder which were all a fixed distance away from the plane…that means that two circles form, one at each side of the plane, around the line(line passes through their centre), on the cylinder…its like you cut the cylinder shorter…a circle at either end… hope im right…:)</p>

<p>I’m pretty sure the answer to Vandy’s problem is a.) y=root x</p>

<p>What was the answer to “If f(x) is identical to the inverse of f(x), their graphs are symmetrical in what respect?” I narrowed the answers down to origin, the line y=x, the line y=-x.</p>

<p>It’s the line y=x. The inverse of a function is the functions curve reflected over the line y=x.</p>

<p>Anyways, good thing I forgot how to use the standard deviation function on my calculator properly.</p>

<p>Omitted 1 (cuz didn’t have time) and I didn’t have any questions. :slight_smile: But I wouldn’t mind if you guys kept talking about the test! :slight_smile: haha</p>

<p>“It’s the line y=x. The inverse of a function is the functions curve reflected over the line y=x.”</p>

<p>Woot I got it right.</p>

<p>I found that question’s wording to be awkward.</p>

<p>Does anyone remember the question about the area of the triangle formed from three lines (can’t remember the equations)?</p>

<p>Ooh I’ll be happy if two circles is right, I took a complete stab in the dark there! Does anyone remember the one about two points, and if Z is the distance between them, what is Z? I had root(x + m^2 x) but I wasn’t sure…</p>

<p>Ugh. That was awful. I’ve taken AP Calc but it’s been forever since I covered these concepts, and I didn’t have any time at all to study.</p>

<p>Omitted 9, probably got about 3 legit wrong, and maybe another 2 stupid mistakes. Anyone know the ballpark my score will be in?</p>

<p>Raw score of like 35-36 would be like 720-730.</p>

<p>Yeah, it was two circles, and yeah, it was symmetrical about y=x. What was the answer to the sin(theta) question? I got -3/sqr(13)?</p>

<p>@Extelleron - Ooh that’s not as bad as I thought. haha Still not Ivy-quality (I’m only taking the SATIIs for two Ivy schools), but it’s not bad.</p>

<p>Thanks!</p>

<p>did anyone get the one with the Heartbeat question</p>

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

<p>F(x) = 120 + 25sin(2piX) for -1 < x < 1</p>

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

<p>i think it was 120 Heartbeats</p>

<p>Here’s my take on the “If f(x) is identical to the inverse of f(x), their graphs are symmetrical in what respect?” question. What has been discussed above seems to assume that the question was asking, essentially, how the graphs of a function and its inverse are symmetrical. If it were, then the answer would, indeed, be that they are symmetrical about the line y=x. However, I don’t think that’s the case here.</p>

<p>The key word for me was “identical.” The question said that f(x) is identical to its inverse. That means that the function is an inverse of itself. I could only think of one function that is its own inverse, and that was y=x. y=x is an odd function and is symmetric about the origin, so I put origin for my answer.</p>

<p>Keep in mind that this is just MY reasoning, though.</p>

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It was 13 and 1/2 (C I believe).</p>

<p>@ Kean</p>

<p>That’s what i got to i think. so it’s right</p>

<p>so did ANYONE get the heartbeat question</p>

<p>120?</p>

<p>LBlock, the geometric definition of an inverse is being flipped over the y=x line. If the real function and its “flip image” over the y=x line is “identical,” then they are symmetrical about y=x.</p>

<p>@FallenAngel: Yeah but remember people on here tend to be crazy, no offense to them. 720 or 730 puts you at better than ~70% of the people who take the math II, and the only people who take the math II are pretty much the top few percent of math students in the nation. So it’s a good score by any standard.</p>