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- Q1: Find the fourier expension of the periodic function whose defination in one period is: 0Q/Determine the Fourier expansions of the periodic functions whose definitions in one period are: f1 + t 7 f(t) = -1Which of the following is NOT a valid expression for a Fourier coefficient of function f(t) with period 4m? Ⓒao=ff(t)dt be=ff(t) sin(6t)dtas= f(t) cos(3t)dt ao=/f f(t)dt Which of the following are valid for Fourier coefficients of 1 t ≤ 4T f(t)= = {1 0 4 < t < 8T with period 16. [Tick all that apply - points will be deducted for wrong answers.] 1 Ⓒao = 16-80 fdt = □bk=0ak = cos(kt)dt 14 -4T ak cos()dt 8m ak = 8x 8K -8T cos(k)dt Which of the following expressions is NOT equal to zero? ○ 813 Of sin(3x) sin(a)da of sin(3x) cos(x) dx 12m Of* sin(2x) dx of cos(3x) cos(3x)daGraph and find the Fourier coefficients of the following functions f (x): - T/2 < x < Tn/2 1/2 < x < 3n/2 1 a) f(x) = { -1 b) f(x) = { "** -πWHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS : F(t) = for -IWhat is the value of a0 in Fourier series of Jæ|, where F(z + 2n) = F(x) cos( a)+ sin( x)Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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