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1.5.16 Gradient of a parametric curve (A-level only)

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Question 23

Given that

x=8cos⁡23y0<y<π6 x = 8 \cos^2 3y \qquad 0 < y < \frac{\pi}{6} x=8cos23y0<y<6π​

show that

dydx=−1ABx−x2 \frac{dy}{dx} = -\frac{1}{A\sqrt{Bx - x^2}} dxdy​=−ABx−x2​1​

where AAA and BBB are integers to be found.

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1.5.16 Gradient of a parametric curve (A-level only) Questions

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