5. (a) A curve has parametric equation X= 4+ 5 cos 3t y = 5 sin3t - 2 for t ER. i. Show that the Cartesian equation of t

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5 A A Curve Has Parametric Equation X 4 5 Cos 3t Y 5 Sin3t 2 For T Er I Show That The Cartesian Equation Of T 1 (35.92 KiB) Viewed 30 times

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5. (a) A curve has parametric equation X= 4+ 5 cos 3t y = 5 sin3t - 2 for t ER. i. Show that the Cartesian equation of the curve is a circle. Hence determine its radius and the co-ordinates of the centre. (6 marks) ii. Does the cartesian expression obtained in part (a)i represent a function? Give the reasons for your answer (2 marks) iii. Find the x-intercepts and y-intercepts of the Cartesian equation. (4 marks) iv. Sketch the curve. (2 marks)