spoiler5/2*pi

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[–] 106 points 1 year ago* (2 children)

Bottle, Hamburger, Ale

B+B+B=30 B+H+H=20 H+A+A=9

B=20-2H

20-2H+20-2H+20-2H=30

60-6H=30

60-30=6H

30/6=H

H=5

B=10

5+2A=9

2A=9-5

2A=4

A=4/2

A=2

intermediate Result: H=5 B=10 A=2

(H+H-B) -> inf 0 -> inf integral of (((B sin(D))/ (A D))dD

Simplifying

0 -> inf integral of B/A (sin(D)/D)dD

It is known that 0->inf of (sin(x)/x)dx is equal to π/2 Then (10/2)(π/2)

Final Result: 5π/2

Sorry for the formatting, I don't know how to fix it

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  • [–] 19 points 1 year ago (1 child)

    I am amazed at how convoluted your way to solve the first three equations is, but I applaud you for pulling through and solving the integral. That's where I chickened out, because I'd have had to look something up.

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  • [–] 6 points 1 year ago*

    It's mainly the formatting and I wanted to "prove" it. It is easy to see that the bottles are 10 because 3B=30, so I was showing off. The integral I did have to look it up because I was thinking it was not converging as sin(x) never does. But then got distracted with a video of a guy doing the Feynman technique for the sin(x)/x part. So I just summarize it as "it is known..."

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  • [–] 26 points 1 year ago (1 child)

    I was like how am I supposed to know the hotdog untill I actually read the thing. It's 5π/2.

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  • [–] 23 points 1 year ago

    int 0->inf of (5sin(x)/xdx)

    No, I will not solve it.

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  • [–] 19 points 1 year ago (3 children)
  • [–] [S] 6 points 1 year ago (1 child)

    I am struggling to solve this actually

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  • [–] 4 points 1 year ago (1 child)

    I also didn't solve it by myself. Once you give up, make sure to check out the solution in the source link. It's surprising.

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  • [–] 14 points 1 year ago* (1 child)

    Not quite the same, but my favorite:

    a math meme: SOLVE CAREFULLY... 25 - 55 + (85 + 65) = YOU PROBABLY WON'T BELIEVE IT, BUT THIS EQUALS 5!

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  • [–] 11 points 1 year ago (1 child)
    [–] 8 points 1 year ago

    I'll have a 9 to go. Thanks.

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  • [–] 5 points 1 year ago
    [–] 4 points 1 year ago
    [+] 1 point 1 year ago