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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