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Question The curve C has the equation sin(my)-y- xy = -5, x 20 (a) Find ay in terms of x and y. dx (5) The

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Question The curve C has the equation sin(my)-y- xy = -5, x 20 (a) Find ay in terms of x and y. dx (5) The point P with coordinates (2, 1) lies on C. The tangent to C at P meets the x-axis at the point A. (b) Find the exact value of the x-coordinate of A. (4) Question 9 The curve Chas equation 3 x-1 + x7-12 +5= 0 Show that - at the point (1, 3) on the curve C can be written in the form - In(Me ) , where & and x are integers to be found. b (7 ) Question 10 The curve Chas equation 163 + 9x y - 54x = 0. (a) Find - in terms of x and y. (5) (b) Find the coordinates of the points on C where- - =0. dx (7 )

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