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Consider the function -1.0xs0 0cxs2 x: 2 + 2x-x": 2: (x) = (a) Find the Fourier series of the fun...
Consider the function -1.0
Consider the function -1.0<xso x, (a) Find the Fourier series of the function f(x (b) Use any graphing software to plot the function f (x) (c) Graph the partial sums S (x) for N 1,2,3,5,10,20,50 in ONE graph (d) Analyse your results. END
Consider the function -1.0
Consider the function -1.0
Consider the function -1.0<xs0 0<x S 2 r. (a) Find the Fourier series of the function(x) (b) Use any graphing software to plot the function (x) (c) Graph the partial sums Sfor N-1,2,3,,10,2050 in ONE graph. (d) Analyse your results. END
Consider the function -1.0
11.1 and 11.2 Fourier Series Q1 Find the Fourier series of the given function f(x), which is assu...
11.1 and 11.2 Fourier Series Q1 Find the Fourier series of the given function f(x), which is assumed to have the period 2π. Show the details of your work. Sketch or graph the partial sums up to that including cos 5x and sin 5x. Note: Plot the partial sum using MATLAB. Hint: Make use of your knowledge of the line equation to find f(x) from the given graph. -π 0
11.1 and 11.2 Fourier Series Q1 Find the Fourier series...
12-21 FOURIER SERIES Find the Fourier series of the given function f(x), which is assumed to have...
12-21 FOURIER SERIES Find the Fourier series of the given function f(x), which is assumed to have the period 2T. Show the details of your work. Sketch or graph the partial sums up to that including cos 5x and sin 5x. 9. f(x) -
12-21 FOURIER SERIES Find the Fourier series of the given function f(x), which is assumed to have the period 2T. Show the details of your work. Sketch or graph the partial sums up to that including...
Consider the function y = x2 for x E (-7,7) . a) Show that the Fourier series of this function is...
Consider the function y = x2 for x E (-7,7) . a) Show that the Fourier series of this function is n cos(nz) . b) (i) Sketch the first three partial sums on (-π, π) (ii) Sketch the function to which the series converges to on R . c) Use your Fourier series to prove that 2and1)"+1T2 12 2 2 Tu . d) Find the complex form of the Fourier series of r2. . e) Use Parseval's theorem to prove...
(1 point) Consider the Fourier sine series: ) 14, sin( f(z) a. Find the Fourier coefficients for the function f(x)-9, 0, TL b. Use the computer to draw the Fourier sine series of f(x), for x E-15, 15...
(1 point) Consider the Fourier sine series: ) 14, sin( f(z) a. Find the Fourier coefficients for the function f(x)-9, 0, TL b. Use the computer to draw the Fourier sine series of f(x), for x E-15, 151, showing clearly all points of convergence. Also, show the graphs with the partial sums of the Fourier series using n = 5 and n = 20 terms.
(1 point) Consider the Fourier sine series: ) 14, sin( f(z) a. Find the Fourier...
1 point) Consider the Fourier series: nTTc a. Find the Fourier coefficients for the function f(x) 1.2 an b. Use the computer to draw the Fourier series of f(a), for x E[-18, 18], showing clearly all...
1 point) Consider the Fourier series: nTTc a. Find the Fourier coefficients for the function f(x) 1.2 an b. Use the computer to draw the Fourier series of f(a), for x E[-18, 18], showing clearly all points of convergence. Also, show the graphs with the partial sums of the Fourier series using n5 and n20 terms. What do you observe?
1 point) Consider the Fourier series: nTTc a. Find the Fourier coefficients for the function f(x) 1.2 an b. Use...
l etisalat 5:45 PM 슐 moodle.ud.ac.ae 11.1 and 11.2 Fourier Series Q1 Find the Fourier series...
l etisalat 5:45 PM 슐 moodle.ud.ac.ae 11.1 and 11.2 Fourier Series Q1 Find the Fourier series of the given function f(x), which is assumed to have the period 2π. Show the details of your work. Sketch or graph the partial sums up to that including cos 5x and sin 5x Note: Plot the partial sum using MATLAB Hint: Make use of your knowledge of the line equation to find f) from the given graph. 2 Find the Fourier integral representation...
Q#2 (22 points) (a) Find the Fourier series of the function by expanding the function as...
Q#2 (22 points) (a) Find the Fourier series of the function by expanding the function as an odd periodic function with a period of 10 units, as shown in Figure below. Plot the first, second, third and fourth partial sums of this Fourier series between -5 to +5 (Matlab is preferable). There will be single graph with 4 plots (b) Draw the amplitude versus frequency spectrum for first four non-zero terms of the Fourier series. Note that y(t) for -5<t<...
(2) Consider the function f(x)- 1 (a) Find the Fourier sine series of f (b) Find...
(2) Consider the function f(x)- 1 (a) Find the Fourier sine series of f (b) Find the Fourier cosine series of f. (c) Find the odd extension fodd of f. (d) Find the even extension feven of f. (e) Find the Fourier series of fod and compare it with your result -x on 0<a < 1. in (a) (f) Find the Fourier series of feven and compare it with your result in (b)
Consider the function -1.0<xso x, (a) Find the Fourier series of the function f(x (b) Use any graphing software to plot the function f (x) (c) Graph the partial sums S (x) for N 1,2,3,5,10,20,50 in ONE graph (d) Analyse your results. END
Consider the function -1.0
Consider the function -1.0<xs0 0<x S 2 r. (a) Find the Fourier series of the function(x) (b) Use any graphing software to plot the function (x) (c) Graph the partial sums Sfor N-1,2,3,,10,2050 in ONE graph. (d) Analyse your results. END
Consider the function -1.0
11.1 and 11.2 Fourier Series Q1 Find the Fourier series of the given function f(x), which is assumed to have the period 2π. Show the details of your work. Sketch or graph the partial sums up to that including cos 5x and sin 5x. Note: Plot the partial sum using MATLAB. Hint: Make use of your knowledge of the line equation to find f(x) from the given graph. -π 0
11.1 and 11.2 Fourier Series Q1 Find the Fourier series...
12-21 FOURIER SERIES Find the Fourier series of the given function f(x), which is assumed to have the period 2T. Show the details of your work. Sketch or graph the partial sums up to that including cos 5x and sin 5x. 9. f(x) -
12-21 FOURIER SERIES Find the Fourier series of the given function f(x), which is assumed to have the period 2T. Show the details of your work. Sketch or graph the partial sums up to that including...
Consider the function y = x2 for x E (-7,7) . a) Show that the Fourier series of this function is n cos(nz) . b) (i) Sketch the first three partial sums on (-π, π) (ii) Sketch the function to which the series converges to on R . c) Use your Fourier series to prove that 2and1)"+1T2 12 2 2 Tu . d) Find the complex form of the Fourier series of r2. . e) Use Parseval's theorem to prove...
(1 point) Consider the Fourier sine series: ) 14, sin( f(z) a. Find the Fourier coefficients for the function f(x)-9, 0, TL b. Use the computer to draw the Fourier sine series of f(x), for x E-15, 151, showing clearly all points of convergence. Also, show the graphs with the partial sums of the Fourier series using n = 5 and n = 20 terms.
(1 point) Consider the Fourier sine series: ) 14, sin( f(z) a. Find the Fourier...
1 point) Consider the Fourier series: nTTc a. Find the Fourier coefficients for the function f(x) 1.2 an b. Use the computer to draw the Fourier series of f(a), for x E[-18, 18], showing clearly all points of convergence. Also, show the graphs with the partial sums of the Fourier series using n5 and n20 terms. What do you observe?
1 point) Consider the Fourier series: nTTc a. Find the Fourier coefficients for the function f(x) 1.2 an b. Use...
l etisalat 5:45 PM 슐 moodle.ud.ac.ae 11.1 and 11.2 Fourier Series Q1 Find the Fourier series of the given function f(x), which is assumed to have the period 2π. Show the details of your work. Sketch or graph the partial sums up to that including cos 5x and sin 5x Note: Plot the partial sum using MATLAB Hint: Make use of your knowledge of the line equation to find f) from the given graph. 2 Find the Fourier integral representation...
Q#2 (22 points) (a) Find the Fourier series of the function by expanding the function as an odd periodic function with a period of 10 units, as shown in Figure below. Plot the first, second, third and fourth partial sums of this Fourier series between -5 to +5 (Matlab is preferable). There will be single graph with 4 plots (b) Draw the amplitude versus frequency spectrum for first four non-zero terms of the Fourier series. Note that y(t) for -5<t<...
(2) Consider the function f(x)- 1 (a) Find the Fourier sine series of f (b) Find the Fourier cosine series of f. (c) Find the odd extension fodd of f. (d) Find the even extension feven of f. (e) Find the Fourier series of fod and compare it with your result -x on 0<a < 1. in (a) (f) Find the Fourier series of feven and compare it with your result in (b)
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