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categoryالرياضيات schoolبكالوريوس event_available2026-07-14

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Question 1. The function f(t) is defined as follows f(t)=-4+5t+t2,0<t≤7. Let f even (t) be the even periodic extension of f(t). Select the name of the appropriate Fourier half-range series representation of fever (t). The Fourier representation of fever (t) is called: Select Enter the following values in the boxes below: *p = f even (-5), q=feren (10), ⚫T, the period of feven(t). Enter p Enter q Enter T: Question 2. The Fourier series representation, FS(t), of a periodic function of period 4 is given by FS(t)= 2 +2 not nπt a cos + b₁, sin R-1 In this particular case the Fourier series coefficients are given by do 1.75 an= 6(-1)" bp = 2(1-2(-1)") n22 Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS3(4) correct to 3 decimal places. Enter the values in the boxes below. Enter a correct to 4 decimal places: | Enter a correct to 4 decimal places: | Enter as correct to 4 decimal places: | Enter by correct to 4 decimal places: Enter by correct to 4 decimal places: | Enter by correct to 4 decimal places: Enter FS3 (4) correct to 3 decimal places:

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