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There are three points A=(1,0),A=(1, 0),A=(1,0), B=(4,3)B=(4, 3)B=(4,3) and C=(a,b)C=(a, b)C=(a,b) on the parabola y=−x2+6x−5.y=-x^2+6x-5.y=−x2+6x−5. What is the maximum area of the triangle ABC?ABC?ABC?
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