Value of b_{n} for the periodic function f with period 2π defined as follows :
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For the given periodic function The coefficient b_{1} of the continuous Fourier series associated with the given function f(t) can be computed as
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Given the following periodic function, f(t).
f (t) = { t^{2} for 0 ≤ t ≤ 2 ; t + 6 for 2 ≤ t ≤ 6
The coefficient a_{0} of the continuous Fourier series associated with the above given function f(t) can be computed as
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For the given periodic function with a period T = 6. The Fourier coefficient a_{1} can be computed as
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Sum of the series at for the periodic function f with period 2π is defined as
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Which of the following is an “even” function of t?
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A “periodic function” is given by a function which
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For the given periodic function with a period T = 6. The complex form of the Fourier series can be expressed as The complex coefficient can be expressed as
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The function x^{2} is periodic with period 2l on the interval [–l, l]. The value of a_{n} is given by
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The function x^{2} extended as an odd function in [–l, l] by redefining it as
sum of series at x = l.
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45 videos44 docs33 tests
