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Question 5 The function f satisfies f(x + 2) = f(x) for all x . Show that .B 6 [f ( x) dx = 2
Question 5 The function f satisfies f(x + 2) = f(x) for all x . Show that .B 6 [f ( x) dx = 2 | f (x) dx. 4 (8 marks) Question 6 (a) Find a function g and a positive constant a such that for all x > 0. g (t) dt = 3 - 2. (14 marks) (b) Does there exist a function h such that Joh(t) dt = - 2 for all x ? If so, find such a function; if not, explain why. (4 marks)
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