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1 Pure Mathematics

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Question 642

A curve has equation y=x3+px2+qx−5y = x^3 + px^2 + qx - 5y=x3+px2+qx−5 where p p\,p and q q\,q are constants.

The curve passes through the point A(2,1)A(2, 1)A(2,1), and the gradient of the curve at A A\,A is 5.

Find the value of p p\,p and the value of qqq.

[5]
Markscheme

1 Pure Mathematics Questions

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