SOLUTION: Find the area of the region bounded by the parabolas f(x)=2x^(2), g(x)=3x^(2)+5, and the line y=8. Help would be much appreciated. Thanks in advance. Judy

Question 224067: Find the area of the region bounded by the parabolas f(x)=2x^(2), g(x)=3x^(2)+5, and the line y=8.
Help would be much appreciated. Thanks in advance.
Judy
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

I'm not sure if this is what your instructor had in mind when s/he assigned this problem, but it is the quickest and easiest solution that comes to my mind. If there are any other more direct solutions out there, I would welcome one of the other tutors weighing in.

We are concerned with the area inside of the

parabola, outside the

parabola, and below y = 8. A tricky integration in my mind. But if you turn things upside down it becomes much more straightforward. The area bounded by

, and the x-axis is the same area. And the area calculation would simply be:

I presume you can handle these simple integrals. If you are having difficulty with them, write back and I'll help you.

John

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