a. Sketch the curve y = (x 1) 2 (5 2x) + 3. b. The

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a. Sketch the curve y = (x − 1)2 (5 − 2x) + 3.

b. The curve y = (x − 1)2 (5 − 2x) + 3 has stationary points at A and B. The straight line through A and B cuts the axes at P and Q. Find the area of the triangle POQ.

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