Problem 64E

The sine integral function Si(x)=0xsinttdt is important in electrical engineering. The integrand f(t)=(sint)/t is not defined when t=0, but we know that its limit is 1 when t0. So we define f(0)=1 and this makes f a continuous function everywhere. a Draw the graph of Si. b At what values of x 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: 0xsinttdt=1

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