Fourier Series and Transforms Clicker questions. Does the Fourier series of the function f converge at x = 0? 1.Yes 2.No 0 of 5 10.

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Presentation transcript:

Fourier Series and Transforms Clicker questions

Does the Fourier series of the function f converge at x = 0? 1.Yes 2.No 0 of 5 10

To what value does the Fourier series of the function f converge at x = 0? 0 of –  /4  /4

To what value does the Fourier series of the function f converge at x = 1? 0 of –  /4  /4

To what value does the Fourier series of the function f converge at x =  ? 0 of –  /4  /4

What is the value of the coefficient a 3 in the cosine half-range expansion of the function f(x) = 1 on the interval [0, 1]?  /2 0 of 5 10

What is the value of the coefficient b 3 in the cosine half-range expansion of the function f(x) = 1 on the interval [0, 1]?  /2 0 of 5 10

What is the value of the coefficient a 0 in the cosine half-range expansion of the function f(x) = 1 on the interval [0, 1]?  /2 0 of 5 10

What is the value of the coefficient b 1 in the sine half-range expansion of the function f(x) = 1 on the interval [0, 1]? 0 of 5 1.1/  2.4/  3.0  /2 10

What is the Fourier transform of f ’’? 1.- k 2.- k 2 3.-i k 2 4.k of 5

What is the Fourier transform of the following function? of 5 10

What is the sine Fourier transform,, of f ’? of 5

What is the cosine Fourier transform,, of f ’? 10 0 of