OCR C2 2010 January — Question 2

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2010
SessionJanuary
TopicIndefinite & Definite Integrals
2 The gradient of a curve is given by \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 6 x - 4\). The curve passes through the distinct points ( 2,5 ) and ( \(p , 5\) ).
  1. Find the equation of the curve.
  2. Find the value of \(p\).
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