2026 RI P1 Q1
2026 RI P1 Q1
Junior College 2
4 marks
A curve has parametric equations
\(x=t^2+1,\qquad y=at^3+bt^2+ct,\)
where \(t>-2\) and \(a\), \(b\) and \(c\) are constants.
The curve has stationary points at \(t=-1\) and \(t=2\). Given that the curve passes through the point \((5,-2)\), find the values of \(a\), \(b\) and \(c\).[4]
Solution:
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Answer:\(a=\frac15,\quad b=-\frac3{10},\quad c=-\frac65\)
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