PHYS 112 Midterm: PHYS 112 IA State Exam2 solutionsx
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Show all work: (31 points) write the fourier series for the function f (x) = x2 + x, 1 < x < 1, (12 points each) (a) sketch the function that the fourier series of. 0 < x < x = 0 x2. 1 sin x < x < 0 f (x) = converges to. (b) sketch the function that the fourier sine series of converges to. f (x) = x2, 0 < x < : (20 points) find the fourier transform (complex fourier integral coe cient) of the function f (x) =(e x x > 0 x 0. 0: (15 points) given that show that. 35: (10 points) the function f (x) = ln(x + 1) for 0 < x < use the following table to give an arithmetic expression for a2, the numerical approximation to the second. Fourier cosine coe cient of f . i xi.
