/sci/ - Science & Math » Thread #11513466

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Anonymous Sun 29 Mar 23:00:47 2020 No.11513466 View Reply Original Report

Quoted By: >>11513474 >>11513484 >>11513527 >>11513776 >>11513777

Okay, how the fuck do I find x in terms of a, b, and c?

$-\frac{e^{a(x-b)}-e^{-a(x-b)}}{2}-c = 0$

Anonymous

Anonymous Sun 29 Mar 2020 23:02:30 No.11513474 Report

Quoted By:

>>11513466
I've toyed with it for an hour or so and I keep wanting to use logarithms but the arithmetic portion doesn't jive.

Anonymous

Anonymous Sun 29 Mar 2020 23:07:06 No.11513484 Report

Quoted By:

>>11513466
To put it more succintly, I am trying to find the y intercept of an arbitrary caternary curve so I can calculate perfectly spaced, functionally arches with a minimum material cost.

Anonymous

Anonymous Sun 29 Mar 2020 23:26:55 No.11513527 Report

Quoted By:

>>11513466
-ea(x-b)-e(-a(x-b))/2 = c
ea(x-b)-e(-a(x-b))=-2c
e(ax-b-(-a(x-b)) = -2c
ax-b+ax+ab=-2c/e
2ax-ab=2c/e
ax-ab=c/e
ax=ab+c/e
x=ab+c/e-a

Anonymous

Anonymous Mon 30 Mar 2020 00:07:55 No.11513645 Report

Quoted By: >>11513703

just use sinh bro

Anonymous

Anonymous Mon 30 Mar 2020 00:28:56 No.11513703 Report

Quoted By: >>11513728

>>11513645
This

x=(1/a)*asinh(c)+b

Anonymous

Anonymous Mon 30 Mar 2020 00:39:54 No.11513728 Report

Quoted By:

>>11513703
I believe it's -1/a. But otherwise the answer is correct

Anonymous

Anonymous Mon 30 Mar 2020 01:05:46 No.11513776 Report

Quoted By: >>11513787

>>11513466
me: $e^{a(x - b)} := y$ and proceeds to solve easy quadratic equation... heh... pathetic
OP: WOOOOW I'M RETARDED THANK YOU

Anonymous

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Anonymous Mon 30 Mar 2020 01:06:32 No.11513777 Report

Quoted By: >>11513787

>>11513466
This is how I did it without sinh.

Anonymous

Anonymous Mon 30 Mar 2020 01:10:06 No.11513787 Report

Quoted By:

>>11513777
Too late, brainlet. This chad did it before you >>11513776

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