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9709 P12 - Mar 2025 - Q2 - 5 marks
9741
Curve 2x squared minus5/x plus3 crossing at P(1,0), minimum M on negative branch

The curve \(y=2x^2-\frac5x+3\) crosses the \(x\)-axis at \(P(1,0)\). Its minimum point is \(M\).

(a) Find the gradient at \(P\). [2]

(b) Find \(M\), giving each coordinate to 3 significant figures. [3]

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