Today's calculation of Integral 552
Source: 2010 Tokyo Medical University entrance exam
February 7, 2010
calculusintegrationconicsparaboladerivativeanalytic geometrygraphing lines
Problem Statement
Find the positive value of such that the curve C_1: x \equal{} \sqrt {2y^2 \plus{} \frac {25}{2}} tangent to the parabola C_2: y \equal{} ax^2, then find the equation of the tangent line of at the point of tangency.