MATH 61 Lecture 1: math61 dis1

The line y = mx+b intersects the parabola y = x^2 at points A and B. Determine the
coordinates of point P on arc AOB of the parabola that maximizesthat area of triangle

The line y=mx+b intersects the parabola in points A and B (see the figure). Find the point P on the arc AOB of the parabola that maximizes the area of the triangle PAB.