| Exam Board | SPS |
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| Module | SPS FM Pure (SPS FM Pure) |
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| Year | 2023 |
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| Session | June |
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| Topic | Parametric equations |
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11. In this question you must show detailed reasoning.
A curve has parametric equations
$$x = \cos t - 3 t \text { and } y = 3 t - 4 \cos t - \sin 2 t , \text { for } 0 \leqslant t \leqslant \pi .$$
Show that the gradient of the curve is always negative.
[0pt]
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