January 2010 - Math Level 2

<p>what was the answer to if ln(sinx)=0 and x is between 0 and pi/4, what is ln(x)?</p>

<p>and the one with the big triangle and similar triangle inside of it…i forget the exact question but the answer choices were like tan y, cot y, cos z, sin z…</p>

<p>Sporty:

  1. 0.452
  2. tan z I believe</p>

<p>if ln(sinx)=0 then e^0=sinx so sinx=1 so x=pi/2 and so ln(pi/2)= whatever</p>

<p>it can’t be three though for the aforementioned reason</p>

<p>if R is parallel to M or P then it MUST intersect with the line it wasn’t supposed to intersect with.</p>

<p>jansat:
the answer to the first question was -8</p>

<p>and yeah the line intersected three times so it had three real solutions</p>

<p>i got E for 50 C for 49 E for 48 C for 47 E for 46, 45, 44 anyone confirm?</p>

<p>“and the one with the big triangle and similar triangle inside of it…i forget the exact question but the answer choices were like tan y, cot y, cos z, sin z…”</p>

<p>can anyone confirm that? i dont remember what the triangle looked like</p>

<p>i remember a lot of E’s in the last part, but honestly jansat i think 50 was A or whichever one said only number I was true</p>

<p>but letter B also had three solutions…
in B all of the intersections were to the right of the origin
while in E, two of the intersections were to the right of the origin and one was to the left.</p>

<p>did you guys get b or e?</p>

<p>Blizzard,
It’s hard to explain online, but I had the same line of thinking. But then I realized that plane R can be parallel to plane M or P without intersecting line j (i think it was) because line j only extends in two directions. If you look at it from above, you can see that making plane R parallel to one of the other planes is actually one of the only ways to insure it never intersects the line.
Again, this was a poor explanations, but jansat also got E. I and III for 50.</p>

<p>Does anyone have an answer to the quadratic regression problem? I’m still wondering</p>

<p>no the answer was not -8 it was 16 because you get (x-16)(x-8) so … 8 was not an option</p>

<p>Sporty, what question are you referring to?</p>

<p>your mixing up two questions
the triangle in the circle was the one with the chord</p>

<p>you had to use cosine law for that one</p>

<p>the second question you mentioned (with all those answers)
the answer is tany. they want you to realize that the two triangles were similar, and therefore had the same angles. so you just had to pick tan of the corresponding angle in the smaller triangle</p>

<p>Word. It was 16.</p>

<p>And I recall 123, 0.452, and tanz.</p>

<p>What about the Lake County probability question? It seemed so easy. Did you just divide the population of all Lake counties in the U.S. by the total Indiana population?</p>

<p>Yeah cclolzftw I had the same problem. It seemed so easy. But I still just divided and got 0.32.
Does anyone have an answer to the quadratic regression problem with the ball being thrown? 5.2 or 6</p>

<p>maybe i’m mixing up two questions.</p>

<p>I thought you were talking about the picture of the graph where it was like y= (x-6)(x-4)(x-8) …
and then you had to pick the right graph</p>

<p>but what question are you talking about?</p>

<p>i agree with janset for the question about the graph with 3 real solutions…because all of the roots are different the graph has to have 3 distinct x-intercepts
and for the ln(sinx) question i think the domain was from 0≤x≤pi/2 so sin(x) = 1; x=1/2</p>

<p>The regression model was something like -5.5x^2+26.9x+1.5. The answer was 599-point-something.</p>

<p>Sporty the answer to the question you’re talking about was E.
I think it was (x-a)(x-b)(x-c) = f(x) btw</p>

<p>for the indiana problem i divided the city in indiana by the city in usa</p>