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Official 2018 Paper 1 · Q16

Paper 1CalculusAlgebra

The curve CC has equation y=x2+bx+2y=x^2+bx+2, where b≥0b\geq0.

Find the value of bb that minimises the distance between the origin and the stationary point of the curve CC.

Ab=0b=0
Bb=1b=1
Cb=2b=2
Db=62b=\frac{\sqrt6}2
Eb=2b=\sqrt2
Fb=6b=\sqrt6

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