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Let a > b > 0. The area under a parabola y = ax - bx between its two roots, x = 0 and x

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Let a > b > 0. The area under a parabola y = ax - bx between its two roots, x = 0 and x = alb, is given by 662 Determine the a and b such that the parabola passes through the point (1, 1) and this area is minimised. With a precision of up to 3 decimal places, e.g. "4.598" or "6.667", calculate: . the value of a: . the value of b: +

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