6. (16 marks) Given curve C: x2 + x sin y - y2 = 0. dy (a) Find (6 marks) dr (b) Let A be the point (T, T). Show that A
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6. (16 marks) Given curve C: x2 + x sin y - y2 = 0. dy (a) Find (6 marks) dr (b) Let A be the point (T, T). Show that A
6. (16 marks) Given curve C: x2 + x sin y - y2 = 0. dy (a) Find (6 marks) dr (b) Let A be the point (T, T). Show that A is on the curve C and find the equation of the normal to curve Cat A. (10 marks)