I gound the base squared to be (1 - 2/m^2 + 1/m^4) x1^4 + (1 - 2/m + 1/m) x1^2. However, I couldn't find the height in terms of x1. And I need to find the height so that I could plug it into A = .5bh or rather A^2 = .25b^2h^2 and differentiate to find the optimal area. How do I find height?
The line y=mx+b intersects the parabola y=x^2 at points A and B. Find the point P on the arc AOB ofthe parabola (where O is the origin) that maximizes the area of the triangle PAB.