MathDB
Today's calculation of Integral 655

Source:

October 23, 2010
calculusintegrationgeometryconicsparabolacalculus computations

Problem Statement

Find the area of the region of the points such that the total of three tangent lines can be drawn to two parabolas y=x−x2, y=a(x−x2) (a≥2)y=x-x^2,\ y=a(x-x^2)\ (a\geq 2) in such a way that there existed the points of tangency in the first quadrant.
Back to ProblemsView on AoPS