The following coefficients define a Fourier series ao = b an == || HI2 bn =...

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The following coefficients define a Fourier series ao = b₁ an == || HI2 bn = 1 ㅠ 2 - sin(nπ/2) for n≥1 NA sin[(n − 1)π/2] 1-n {sin((1 + sin[(n+1)π/2]] 1+n π/²]} for n ≥ 2. (1) (2) (3) (4) (a) Using Matlab, make plots over the range - < x < of the partial sums of the Fourier series for n = = 10, 10², 10³, and 104. All four of the curves should be plotted on the same plot. The axes should be labelled, and the curve should be labelled in a legend. Attach both your code and the resulting graphs to the assignment. (b) Describe what happens as the number of terms in the partial sum increases. (c) Looking at your Fourier sums, describe, in words, the function to which this Fourier series ap- pears to be converging. The following coefficients define a Fourier series ao = b₁ an == || HI2 bn = 1 ㅠ 2 - sin(nπ/2) for n≥1 NA sin[(n − 1)π/2] 1-n {sin((1 + sin[(n+1)π/2]] 1+n π/²]} for n ≥ 2. (1) (2) (3) (4) (a) Using Matlab, make plots over the range - < x < of the partial sums of the Fourier series for n = = 10, 10², 10³, and 104. All four of the curves should be plotted on the same plot. The axes should be labelled, and the curve should be labelled in a legend. Attach both your code and the resulting graphs to the assignment. (b) Describe what happens as the number of terms in the partial sum increases. (c) Looking at your Fourier sums, describe, in words, the function to which this Fourier series ap- pears to be converging.

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a MATLAB code for plotting the partial sums of the Fourier series for n 10 102 103 and 104 Define the Fourier series coefficients alpha 12 A1 sin12 b1 1212pi b2 sin12 sin322pi 1 b3 sin22 sin422pi 3 b4 ... View the full answer