Question: Justify that is it true for all x Question 3. (a) Are the following statements true or false? Justify your answer. (i) If f(x) >

Justify that is it true for all x Question 3. (a)

Justify that is it true for all x

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

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