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**Maburo****Member**- From: Alberta, Canada
- Registered: 2013-01-08
- Posts: 286

This is just a question I thought up, but couldn't figure out how to answer:

A parabola whose vertex lies along the the graph of

What value of c will maximize the area between f(x) and g(x), where f(x)>g(x)? In other words, the area enclosed beneath f(x) and above g(x).

"Pure mathematics is, in its way, the poetry of logical ideas."

-Albert Einstein

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,248

Hi Maburo;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**Maburo****Member**- From: Alberta, Canada
- Registered: 2013-01-08
- Posts: 286

That is where I was having troubles with it.

Is there a way to approximate it without computer software?

"Pure mathematics is, in its way, the poetry of logical ideas."

-Albert Einstein

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,248

An approximate solution is synonymous with computer. Geogebra can answer the question quick and easy. You have 2 non linear equations they are not usually solvable in analytical form.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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