Question: Question 3. (a) Are the following statements true or false? Justify your answer. (i) If f(x) 2 3 for all x E [-5, 5], then

Question 3. (a) Are the following statements true or false? Justify your answer. (i) If f(x) 2 3 for all x E [-5, 5], then J, f(x) dx 2 30. (ii) If [, f(x) dx 2 30, then f(x) 2 3 for all r E [-5, 5]. (b) If fo f(x) dx = 7, then find [,6f(x + 2) dx. (c) Suppose f : R - R is even, [, f(x) dx = 17 and [ f(x) dx = 3. Find f f(x) dr. [(2+2)+2+2 = 8 marks]

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