(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The two functions are x^{2}and mx, where m is a positive constant. I'm asked to find the value for m where the region enclosed between the two equations in the first quadrant is equal to 8.

2. Relevant equations

n/a

3. The attempt at a solution

Since m is a constant, x^{2}and mx intersect at x = 0 and x = m. So therefore, the area between the equations would be:

([itex]\frac{m}{2}[/itex]x^{2}- [itex]\frac{1}{3}[/itex]x^{3})|[itex]^{m}_{0}[/itex]

Which simplifies to:

[itex]\frac{m}{2}[/itex]m^{2}- [itex]\frac{1}{3}[/itex]m^{3}

So clearly all I need to do is set it equal to 8 and solve... however, I'm having major issues actually accomplishing this. I can't see how to get it so I just have m = (constant). Can anyone help? I know the answer I'm trying to get is ~3.63424 but no clue how to get there.

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# Homework Help: Can't finish equation solving step :p area between functions

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