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In building up mathematical model to solve a problem, I have just encountered with this one: "Regarding the temperature distribution in a long box with a rectangular domain. At the top the temperature is parabolic with 10 degrees at both corner and 25 degrees in the middle..."

I don't understand what is the parabolic temperature distribution? Do we have any equation for it?

Thank you very much and best regards,

1 Answers 1

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Hint:

It seems that the temperature can be represented by a parabola of equation $t=ax^2+bx+c$, with the parameters $a,b,c$ such that $t(0)=t(l)=10$ and $t(l/2)=25$, where $l$ is the length of the top side of the rectangular region. Can you find the parameters?

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    Sorry . I edit :) – 2017-01-07
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    Thank you for your quick reply. I understand your explanation. I will think about it ! – 2017-01-07