<p>b. If h(qr) = -h(q+r) + h(q) + h(r) and h(24) = 2010, what is the product of all possible values of h(576)?</p>
<p>c. If j(j(n)) = 12n - j(n), what is the product of all possible values of j(15)?</p>
<p>d. If l(l(k)) = 2k-1, what is the product of all possible values of l(-5)?</p>
<p>e. If x(c) + 2x/(4c) = -3 Log c (base 2) for c<> o, what is the product of all possible values of x(2048)?</p>
<p>Hah if any one of you guys are up for a challenge, let me know!</p>
Renais
April 20, 2010, 12:34am
2
<p>Do I get cookies or something if I finish this? :)</p>
kevmus
April 20, 2010, 8:04am
3
<p>Well, here’s my version of a proof: I didn’t fall for it.</p>
<p>That is problem number 3 of the 2010 collaborative problem-solving contest.
Q: What tools and materials can we use on the test?
A: Nearly anything goes! The solutions should be the work of the students at your school, so consulting with other teams or with outside experts (such as Ask Doctor Math® or local college staff) is not allowed . Using existing resources such as books or web sites is very much encouraged, as is using technology such as programmable calculators or spreadsheets.
</p>
<p>Emphasis mine.</p>
<p>Taking advantage of a contest like this and not even being honest about it is just mean.</p>
<p>The next time you try to so publicly cheat, remember that on a board with high-achieving students, chances are someone knows about your contest.</p>
<p>good job kevmus</p>
<p>“prove you deserve to be in MIT!”</p>
<p>lol</p>
HitMan
April 20, 2010, 9:08pm
5
<p>Apparently you don’t deserve to be in MIT where academic dishonesty is strictly prohibited! :P</p>
<p>Thank you a ton kevmus, I actually would have helped him if you did not post that. Guess that is why I am not at MIT :).</p>