For what values of m do the line and the curve enclose a region? Find the area of the region.
The values of so that the line and the curve enclose a region and find the area of the region
Area is the integral of the difference of two functions.
To find the intersection points of the given curves, equate both to each other.
Subtract by .
Solve for by quadratic formula.
For the intersection of two functions will be at and at where .
Since the region is symmetric, there will be two equal areas.
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