OCR C2 2009 June — Question 6

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2009
SessionJune
TopicDifferentiation Applications
TypeProve constraint relationship
6 The gradient of a curve is given by \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 3 x ^ { 2 } + a\), where \(a\) is a constant. The curve passes through the points \(( - 1,2 )\) and \(( 2,17 )\). Find the equation of the curve.
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