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Arts and Crafts (Posted on 2025-01-03) Difficulty: 3 of 5
For all t in the interval 0≤t≤1, a thread is pinned from the point (0, t) on the y-axis to the corresponding point (1-t, 0) on the x-axis.

Under what curve do the threads lie?

No Solution Yet Submitted by Danish Ahmed Khan    
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re: Solution | Comment 3 of 6 |
(In reply to Solution by Brian Smith)

If I am following your post correctly, in this section of your solution:


0 = t^2 + (x-y-1)*t - (y)
Then quadratic formula gets us
t = ((-x+y+1) +/- sqrt[(x-y-1)^2-4y]) / 2

Is it possible you have a sign error in the last line (-4y should be +4y)?

However, even with this change (if it is justified), this still is different from Larry's solution I believe.  

Having said all this, I don't have the skills to offer my own solution.  They only teach engineers enough math to understand formula derivations and solve the resulting problems.  Other cool stuff that I have seen and learned from on this site was never on the table.


  Posted by Kenny M on 2025-01-03 17:07:51
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