The sine integral function is important in electrical

Chapter 5, Problem 5.179

(choose chapter or problem)

The sine integral function is important in electrical engineering. [The integrand is not defined when , but we know that its limit is 1 when . So we define and this makes a continuous function everywhere.] (a) Draw the graph of . (b) At what values of does this function have local maximum values? (c) Find the coordinates of the first inflection point to the right of the origin. (d) Does this function have horizontal asymptotes? (e) Solve the following equation correct to one decimal place:y x 0 sin t t dt !1

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