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###### Part 2 _ Additional questions: (a) One of the 2 functions below has a Fourier series that is much easier t0 find than the other. Determine which one is easier to find (sketching a few periods of each would help), and then find its Fourier series f(x) = 37 + Scos 4x, f (x+ 2t) =f (x) f(x) 4cos x, f (r+2) =f(x). (6) Find a Fourier series (period 2z) representation for f(x) = 3cos 2x + 4sec? 3x 4tan? 3x + 8cos Sx sin 5x. (Avoid using integration to find the answer: Use trig identities. Will the pe

Part 2 _ Additional questions: (a) One of the 2 functions below has a Fourier series that is much easier t0 find than the other. Determine which one is easier to find (sketching a few periods of each would help), and then find its Fourier series f(x) = 37 + Scos 4x, f (x+ 2t) =f (x) f(x) 4cos x, f (r+2) =f(x). (6) Find a Fourier series (period 2z) representation for f(x) = 3cos 2x + 4sec? 3x 4tan? 3x + 8cos Sx sin 5x. (Avoid using integration to find the answer: Use trig identities. Will the period 7 Fourier series representation of f (x) be the same? Why or why not?

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