Computer Problem 2 - Fourier Series Consider the function f(x) = x2. Use MatLab to create the computer graphics to show the following: 1. Find the Fourier sine series, including the Fourier coefficients, for f(x) for x = [0,3). 2. Graph the original function and the Fourier sine series, where you use 3, 5, 10, 20, and 100 terms. Show the graph for x [-6, 6). 3. Find the Fourier cosine series, including the Fourier coefficients, for f(x) for 2 (0,3). 4. Graph the original function and the Fourier cosine series, where you use 3, 5, 10, and 20 terms. Show the graph for xe[-6,6]. 5. In all graphs include the original function for xe 1-4,4). (Don't extend to the full interval.) Computer Problem 2 - Fourier Series Consider the function f(x) = x2. Use MatLab to create the computer graphics to show the following: 1. Find the Fourier sine series, including the Fourier coefficients, for f(x) for x = [0,3). 2. Graph the original function and the Fourier sine series, where you use 3, 5, 10, 20, and 100 terms. Show the graph for x [-6, 6). 3. Find the Fourier cosine series, including the Fourier coefficients, for f(x) for 2 (0,3). 4. Graph the original function and the Fourier cosine series, where you use 3, 5, 10, and 20 terms. Show the graph for xe[-6,6]. 5. In all graphs include the original function for xe 1-4,4). (Don't extend to the full interval.)