Recent content by M R

  1. M

    MHB Finding the Speed of an Aeroplane - Math Help Forum

    Finding speed of an aeroplane - The Student Room You almost quoted me correctly. ;)
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    MHB Modeling with Differential Equations

    and in the case where $c_1=c_2=0$?
  3. M

    MHB Calculating the Cost of Insertion Sort: O(n)

    What does this do? a=0 for i=1 to 10 j=0 while j<10 a=a+1 j=j+1 print a
  4. M

    MHB I need the two elements with the greatest volume in a data set

    If your locations are 1,2,3,4 and 5 then a result of 3.09 is pretty much your "surge in the middle". Still, I'm not sure that what I'm suggesting is what you need.
  5. M

    MHB I need the two elements with the greatest volume in a data set

    If I understand your requirements correctly I think the following would be OK. For the first set $\frac{1\times 10\times 11+2\times 9\times 7+3\times 8\times 9+4\times 4\times 5+5\times 3\times 1}{ 10\times 11+9\times 7+8\times 9+4\times 5+3\times 1}=2.04..$ The 2.04 indicates your "greater...
  6. M

    MHB Optimizing Binomial Coefficients for Maximum Value

    I looked for k such that $\frac{1000!}{k!(1000-k)!5^k}>\frac{1000!}{(k+1)!(999-k)!5^{k+1}}$. This simplifies to $\frac{1}{1000-k}>\frac{1}{5k+5}$. Leading to k=166 if I didn't make any dopey errors.
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    MHB Prove $\frac{1}{AB}=\frac{1}{AC}+\frac{1}{AD}$ in Geometry Challenge

    If ABCDEFG is a regular heptagon prove that $\frac{1}{AB}=\frac{1}{AC}+\frac{1}{AD}$.
  8. M

    MHB Find Sum of Diagonals of Pentagon $PQRST$

    By applying Ptolemy's theorem five times I got 5 equations: $a^2=10c+9$ $a^2=3e+100$ $ce=14a+30$ $ae=3a+140$ $ac=10a+42$ I rerranged a little to get cubics in e-3 and c-10 which my calculator solved for me. :p
  9. M

    MHB  Solving an Integral Question: Where Did I Mess Up?

    It looks OK until you took the 18 outside the integral.
  10. M

    MHB Find the shortest path from 1 to 10.

    Hi. Did you mean $1 \rightarrow 2 \rightarrow 6\rightarrow 8 \rightarrow 10$?
  11. M

    MHB Does Bessel's Inequality Imply Fourier Coefficients Approach Zero?

    Hi Joystar1977, I think I might be able to help with some of your recent questions but I'm not quite sure what the questions are exactly. If you look at the pdf linked to http://mathhelpboards.com/latex-tips-tutorials-56/math-help-boards-latex-guide-pdf-1142.html you can quickly learn enough...
  12. M

    MHB Min of an Integral lagrange multipliers for E-L

    Perfect question for my revision. Thanks. :) I did the question before I looked at your solution and I only have a couple of small differences. I explicitly considered $$\lambda\le 0$$ to show that those solutions to the ELE don't satisfy the boundary conditions. Also at the end you can say...
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    MHB Math related images for movie and book titles

    Due to a lack of imagination I'm going to have to pass.(Tongueout) Also, after three hours at my desk this morning, I've yet to do one minute of revision. :( . I'm blaming you lot...and the rest of the internet.