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<p>Prime number problem: Prime factorization of a number is some prime to the third times another prime. So r<em>r</em>r<em>p = x (or, as a common example goes, 2</em>2<em>2</em>3 = 24). You have to find how many divisors x has. The answer is 8 (choice D, I think).</p>
<p>The cone problem was the last problem of the test. We believe that the answer was choice E, 4.8.</p>
<p>hey, did anyone have this question</p>
<p>(A^2)^3 = 123</p>
<p>what is the answer?</p>
<p>because the answer i got wasn’t in any of the choices.</p>
<p>it was 2.2 or 2.3 </p>
<p>6th root of 123.2 rounded to 2.2 or 2.3</p>
<p>i dont remember which one it was (2.2 or 2.3) but only one of them was an awswer choice so that was it</p>
<p><a href=“A%5E2”>quote</a>^3 = 123
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<p>First, remember that (a^x)^y = a^(xy).</p>
<p>So (A^2)^3 = A^6 = 123. Raise both sides to the 1/6 power (same as the sixth root).</p>
<p>(A^6)^(1/6) = A^(6*(1/6)) = A = 123^(1/6) ~= 2.230</p>
<p>Thus the rounded answer is 2.2.</p>
<p>there was one polynomial question that asked for the zero of the expression x^4 - 3x^3 - 4x^2 + 6x + 7 or something like that. I got -.4 as an answer after plugging in the other ones. Can anyone confirm this?</p>
<p>Was that the question that asked for the largest root of the expression?</p>
<p>I checked the stored data on my polynomial root finder and it turns out I still have one of the problems in memory. The expression was the following:</p>
<p>X^4 - 2x^3 - 8x^2 +14x + 7</p>
<p>With roots: {-2.646, 2.646, 2.414, -0.414}</p>
<p>If I’m not totally off base then that question asked for the greatest root of the expression, which would be 2.6 (rounded). I don’t believe -0.4 would qualify as a correct answer here (although perhaps you’re referring to a different problem…).</p>
<p>awesome (10 char)</p>
<p>question about cheese and time, it was I and II are correct right? and the one about G(x)*H(x) distinct roots, that was 4, right?</p>
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<p>I and II were both correct, and III was incorrect.</p>
<p>The answer to the root problem was 4, 3, or 2 (abstract and/or concrete proof available on demand).</p>
<p>what did pepl get for the jean sale problem? i got something like 15% loss. </p>
<p>and also what was the radius of the sphere (the prob said a cube w/ side s was inscribed within a sphere)? was it (s)(sqrt2)/(2)</p>
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<p>The answer was 30% profit, which was probably bubble choice B.</p>
<p>so what was the radius of the sphere?</p>
<p>for that one cheese problem. I dont think the (I) is correct. The initial is 75 but its only 50 if it approaches infinity but i think the problem said something like after a long time but there’s never going to be a time when its going to be fifty because infinity is not definate… </p>
<p>Correct me if im wrong…</p>
<p>The cube inscribed in a sphere, right?</p>
<p>(s*rt(3))/2</p>
<p>FWIW, I’m pretty sure that 30% profit (the answer I got, btw) was choice D. </p>
<p>Also, anyone get a different answer for the largest root of the 4th degree polynomial? I found the zeros using a TI-83 and got E (5-point-something), but I wonder if I misstyped it…</p>
<p>Oh and cheese, two things were true: </p>
<p>Temp approaches 55
Temp starts at 75</p>
<p>If you plug in 0 for t, you get 75.
If you take the infinite limit of the function (or just plug in a large value for t), e^x approaches 0 therefore the second (added) term approaches zero and the function approaches 55. I think they count “a long time” in this case since after a long time the temperature would round off to 55.</p>
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<p>You’re reading a little too much into it. Their wording was a euphemism for evaluating the limit of the function as it headed to infinity, because they asked where it’s heading to over a long period of time. Basically, they wanted to know where the function was moving to as the time increased, and it was ultimately headed to 55.</p>
<p>well the function APPROACHES 55… it never reaches it</p>
<p>thats not cool… I totally thought i got that question because of that… maybe YOU GUYS are wrong!!!</p>
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<p>Considering that both D and E were negative percentages (indicating loss), I doubt that.</p>
<p>As for the polynomial root problem, I’m fairly sure that 2.6 is the right answer. If anyone else has the expression stored, it’d be nice if you could confirm / dissent from my stored expression above (x^4 - 2x^3 - 8x^2 +14x + 7).</p>