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Question 15 (5+ 5 = 10 marks) (a) Given the curve 6x2 - 4xy - 3xy = 0, find dy dx at the point (27,

Question 15 (5+ 5 = 10 marks) (a) Given the curve 6x2 - 4xy - 3xy = 0, find dy dx at the point (27, 6). (b) A spherical balloon is being deflated, with the surface area of the balloon decreasing by 0.4m/s. At what rate is the radius of the balloon decreasing when the radius is 1.6m? Round your answer to 4 decimal places. (The surface area of a sphere of radius r is S - 4Trz. )

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