PROBLEM 1E

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In Problems 1–4, determine (a) the π-periodic extension (b) the odd 2 π-periodic extension f o , and (c) the even 2 π-periodic extension f e for the given function f and sketch their graphs.

2.1 The Idea of Limits distance Average velocity = time = slope of secant line Secant line – the line between two points on a graph Sparky’s average speed if he goes 8 miles in the span of 2 hours. 8mi 2hrs4mph Ex. An acrobat swings from a rope. Her displacement at time t is given by 3sint. What is her average velocity on the following intervals distance3 π = 6 [0, 2 ] time π ¿π 1.9099 2 distance ¿3sin.5 [0, .5] time .5 ~ 2.8766 distanc3sin.1 [0, .1] time = .1 ~ 2.9950