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Suppose that a>1/2 and the parabola with equation y=ax^2+2 has vertex V. The parabola intersects the line with equation y=-x+4a at points B and C, as shown. If the area of triangle VBC is 72/5, determine the value of A.

Suppose That Agt12 And The Parabola With Equation Yax22 Has Vertex V The Parabola Intersects The Line With Equation Yx4a At Points B And C As Shown If The Area class=