#system of equations

42 messages · Page 1 of 1 (latest)

opal windBOT
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olive steeple
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$240d^\frac13(15d^\frac43+i^\frac43)^{-\frac14}-\frac{75}{32}d^\frac23=0 \newline$
$16i^\frac13(15d^\frac43+i^\frac43)^\frac-1/4-\frac5{32}i^\frac23=0$

daring garnetBOT
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Cacao_Yolk

olive steeple
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where d an I are variables

elder frigate
olive steeple
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I just noticed that I listed the equations wrong

elder frigate
olive steeple
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$240d^\frac13(15d^\frac43+i^\frac43)^{-\frac14}-\frac{75}{32}d^\frac23=0 \newline$
$16i^\frac13(15d^\frac43+i^\frac43)^\frac{-1/4}-\frac5{32}i^\frac23=0$

daring garnetBOT
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Cacao_Yolk

olive steeple
elder frigate
olive steeple
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question d

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I have the equations listed but i dont know how to solve for critical points

elder frigate
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...hmm, why is an imported egg worth more cake than a domestic egg?

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Wait, other way around.

olive steeple
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This is more of a econ problem

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as opposed to math problem

elder frigate
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Well, it's a calculus problem.

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Unfortunately, I don't really know anything about multivariable calculus. Fortunately, that's not necessary to answer your initial question, which is yes, the system of equations is solvable.

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Basically all that's necessary for a system of equations to be solvable is the ability to isolate one of the variables.

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Which you have here.

olive steeple
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$240d^\frac13(15d^\frac43+i^\frac43)^{-\frac14}-\frac{75}{32}d^\frac23=0 \newline$
$16i^\frac13(15d^\frac43+i^\frac43)^\frac{-1/4}-\frac5{32}i^\frac23=0$

daring garnetBOT
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Cacao_Yolk

olive steeple
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why is the formatting werid

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sorry I dont know how to use latex

elder frigate
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...look, I get what you mean.

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Literally all you did wrong the first time was forget a power of -1/4.

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But the answer to your question remains the same. And in fact, it's just algebra. Relatively basic if you're doing multivariable calculus.

olive steeple
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Can you help me to solve it

elder frigate
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...what have you tried?

olive steeple
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isolating variables

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but I got too many exponents

elder frigate
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Okay, well, show your work up until you get stuck. Uh, maybe take a picture of it written out.

olive steeple
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alright let me try one last time

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alright i gave up

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I have attmeped to do it by hand too many times

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literally wasting too much time

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thanks for ur help tho

olive steeple
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.close

copper oakBOT
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