f(t) {3t, 0
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f(t) {3t, 0<t<2}
f(t){0, -2<t<0}
f(t)= f(t+4)
i) Sketch the graph of f (t) over the interval[−6, 4].
ii) Find the Fourier series expansion of
f (t ) .
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- Help Please(Hint In part d) using the Fourier series of this problem together with simple algebra, Note that we are shortly going to prove the fact that if ∑|f^(n)|<∞∑|f^(n)|<∞ then the Fourier series of ff converges uniformly to ff. You may use this fact in your solution.)HELP ME PLEASE WILL RATE YOU
- +3 - nI need help with these: a) Find the Fourier series of f(x) = |x| where −L < x < L. b) What is the Fourier series of the function f of period 2L defined byf(x) = -1 if −L < x< 0,f(x) = 1 if 0 < x < L,What does the series converge to when x = 0?odule code: CAPE200001 [a, -15) a) Construct a Fourier Series for f(x) = (x² - 0x)for 0 < x < 3t b) Briefly explain the application of half – range Fourier series in your SpecializationCompute the Fourier series of the indicated functions for x ∈(−L, L):f (x) = x^2Compute the Fourier series of the indicated functions for x ∈(−L, L):f (x) = e^xRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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