In the coordinate plane, denote by S(a) the area of the region bounded by the line passing through the point (1, 2) with the slope a and the parabola y\equal{}x^2. When a varies in the range of 0≤a≤6, find the value of a such that S(a) is minimized. calculusintegrationanalytic geometrygeometrygraphing linesslopeconics