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Exam-Style Questions on Parametric EquationsProblems on Parametric Equations adapted from questions set in previous Mathematics exams. |
1. | A-Level |
The curve C has parametric equations
\(x=2t+3, \quad y=7-2t^2\)
(a) Find the cartesian equation for C in its simplest form.
(b) Find \( \dfrac{dy}{dx} \)
The point \(P\) lies on C where \(t = 3\)
(c) Find the equation of the tangent to C at the point \(P\). Give your answer in the form \(y = ax + b\), where \(a\) and \(b\) are integers to be determined.
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