Question 12 (Revision: Unit 11) 5 marks Consider the function f(t) defined on the interval 0 < t < 1 by f(t) = t(1-t). (

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Question 12 Revision Unit 11 5 Marks Consider The Function F T Defined On The Interval 0 T 1 By F T T 1 T 1 (21.73 KiB) Viewed 33 times

Question 12 (Revision: Unit 11) 5 marks Consider the function f(t) defined on the interval 0 < t < 1 by f(t) = t(1-t). (a) Sketch the graph of the odd extension fodd of f for -3 ≤ t ≤ 3, and hence state the fundamental period of the odd extension. (b) Sketch the graph of the even extension feven of f for -3 ≤t≤ 3, and hence state the fundamental period of the even extension. [3] [2]