MathDB
Today's calculation of Integral 192

Source: Tokyo Instutute of Technology entrance exam 1965

March 6, 2007
calculusintegrationconicsparabolageometrylimitcalculus computations

Problem Statement

Let tt be positive number. Draw two tangent lines to the palabola y=x2y=x^{2} from the point (t,−1).(t,-1). Denote the area of the region bounded by these tangent lines and the parabola by S(t).S(t). Find the minimum value of S(t)t.\frac{S(t)}{\sqrt{t}}.
Back to ProblemsView on AoPS