Math Is Fun Forum

Maburo

Member

From: Alberta, Canada

Registered: 2013-01-08

Posts: 287

Weird Area

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).

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

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Weird Area

Hi Maburo;

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Maburo

Member

From: Alberta, Canada

Registered: 2013-01-08

Posts: 287

Re: Weird Area

That is where I was having troubles with it.

Is there a way to approximate it without computer software?

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

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Weird Area

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.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.