Unformatted text preview: you are under 3%, or 1%. 3. Sine and Cosine Series Calculate the sine and cosine series for f ( t ) = t on [0 , 1]. Plot the ±rst 30 terms of these series on [3 , 3]. Estimate the error between both series and the function on [0 , 1] after 30 terms. How many more terms of the sine series are necessary to achieve the same error as was achieved with the cosine series and 30 terms? 4. Sine and Cosine Series Plot the ±rst 30 terms of the derivatives of both the sine and cosine series in the above problem. What do you observe? 1...
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 Spring '10
 olsen
 Fourier Series, Periodic function, Leonhard Euler

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