2024 CJC Promo Q1
2024 CJC Promo Q1
4 marks
A curve \(C\) has equation \(y = px + \sqrt{qx} - \ln(rx)\), where \(p\), \(q\) and \(r\) are constants. Given that \(C\) crosses the \(x\)-axis at the points where \(x = 1\), \(x = 2\) and \(x = 5\), find the values of \(p\), \(q\) and \(r\), giving your answers correct to \(3\) decimal places.[4]
Solution:
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Answer:\(p=-0.452\), \(q=7.641\), \(r=10.099\) (3 d.p.).
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