The waves from the boat displace the waters surface according to the equation z = (sin

Chapter 12, Problem 9

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The waves from the boat displace the waters surface according to the equation z = (sin t)/t. The average displacement over the time interval [0, t] involves the sine integral function, Write Si t as a power series. Use the ratio technique to determine the interval of convergence. Estimate the error in calculating Si 0.6 using just the first three nonzero terms of the series. Calculate Si 0.6 by numerical integration on your grapher

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