(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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

**Physics Forums | Science Articles, Homework Help, Discussion**