OCR MEI C4 2010 January — Question 3

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
Year2010
SessionJanuary
TopicParametric equations
3 A curve has parametric equations $$x = \mathrm { e } ^ { 2 t } , \quad y = \frac { 2 t } { 1 + t }$$
  1. Find the gradient of the curve at the point where \(t = 0\).
  2. Find \(y\) in terms of \(x\).
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