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M4U-9709-IN26-E-CE038 marks

E-CE03 · A curve with a radical gradient

For \(\displaystyle x>-\frac12\), a curve has \(\displaystyle f^{\prime}(x)=\frac6{\sqrt{2x+1}}\) and \(f(4)=11\).

Find f(x).

[3]

Find the point on the curve with ordinate 5.

[2]

Find the normal at that point.

[3]

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