1. Fourier Series and Transforms Clicker questions

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

3. To what value does the Fourier series of the function f converge at x = 0? 0 of 5 10 1.0 2.–  /4  /4

4. To what value does the Fourier series of the function f converge at x = 1? 0 of 5 10 1.0 2.–  /4  /4

5. To what value does the Fourier series of the function f converge at x =  ? 0 of 5 10 1.0 2.–  /4  /4

6. 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]? 1.1 2.2 3.0  /2 0 of 5 10

7. 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]? 1.1 2.2 3.0  /2 0 of 5 10

8. 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]? 1.1 2.2 3.0  /2 0 of 5 10

9. 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

10. What is the Fourier transform of f ’’? 1.- k 2.- k 2 3.-i k 2 4.k 2 10 0 of 5

11. What is the Fourier transform of the following function? 1. 2. 3. 0 of 5 10

12. What is the sine Fourier transform,, of f ’? 10 1. 2. 3. 0 of 5

13. What is the cosine Fourier transform,, of f ’? 10 0 of 5 1. 2. 3.