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application of Maximisation question (1 Viewer)

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sadpwner

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A point A lies on the curve y = x(5 − x), and a point B with the same x-coordinate
as A lies on the curve y = x(x − 3). Find an expression for the length of AB, and determine the maximum length if 0 ≤ x ≤ 4. How do you do this?
 
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