Question: 12. (a) [4 marks] Explain carefully why 1-t dt 4 (b) [2 marks] Let a > b be positive numbers. Draw a large sketch

12. (a) [4 marks] Explain carefully why 1-t dt 4 (b) [2 marks] Let a > b be positive numbers. Draw a large sketch of the ellipse y = 1 below, indicating the intercepts clearly. b2 3 Y (c) [4 marks] Let a > b be positive numbers. Use integration to calculate the area x y = 1. a b2 of the ellipse +

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