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Question 3 Curve 3 is dened by the following parametric equations: y = - 905(29], x = 4ten{9] a] Show that Q _ 3 dx

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Question 3 Curve 3 is dened by the following parametric equations: y = - 905(29], x = 4ten{9] a] Show that Q _ 3 dx 51MB} cos {9) [5 marks} b] Find the equation of the normal to Curve 8, at the point where B = %. Give your answer in the form y= mx+ c, where m and c are exact constants {6 marks} Question 4 Consider the function y = siniicoaixli. U s x 5 1": By rearranging the function to sin{y} = cosh] use implicit differentiation to write 3% in terms of x, to show that the gradient of this function is always -1

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