Specialist2026 NHT Exam 1 · Q7Tech-free3 marks

Parametric curve: vertical tangents and Cartesian equation

A curve is described by the parametric equations $x = t^2 + \frac{1}{t^2}$ and , where .

Find the coordinates of any points on the curve that have a vertical tangent.

2 marks

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Find the Cartesian equation of the curve.

1 mark

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