5. (a) A curve has parametric equation x = 4+ 5 cos 31 y = 5 sn3t - 2 fort ER. i. Show that the Cartesian equation of th
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5. (a) A curve has parametric equation x = 4+ 5 cos 31 y = 5 sn3t - 2 fort ER. i. Show that the Cartesian equation of th
5. (a) A curve has parametric equation x = 4+ 5 cos 31 y = 5 sn3t - 2 fort 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 Cartes an equation. (4 marks) iv. Sketch the curve. (2 marks)
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