y=f(x)y=f(x) is the function
illustrated below, defined only on x∈[0,4]x∈[0,4]:
Compute the Fourier coefficients for f(x)f(x).
A0=1L∫L−Lf(x)dx= ?
Homework Answers
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y=f(x)y=f(x) is the function illustrated below, defined only on x∈[0,4]x∈[0,4]: Compute the Fourier coefficients for f(x)f(x)....
FIND A0, An, Bn, and f(x) f(x) is the function illustrated below, defined only on x...
FIND A0, An, Bn, and f(x)
f(x) is the function illustrated below, defined only on x E [0,4]: y 4 110 -1 -1 Compute the Fourier coefficients for f(x). For this question, we will reflect the graph around the y-axis to get an even function: 1 0 -5 13 -1 We get L =4 (x)dx A0 =
f(x) is the function illustrated below, defined only on x E [0,4]: y 4 110 -1 -1 Compute the Fourier coefficients for f(x)....
y=f(x)y=f(x) is the function illustrated below, defined only on x∈[0,6]x∈[0,6]: Complete the Fourier Coefficients? An is...
y=f(x)y=f(x) is the function
illustrated below, defined only on x∈[0,6]x∈[0,6]:
Complete the Fourier Coefficients? An is incorrect.
At least one of the answers above is NOT correct. 13 of the questions remain unanswered. (1 point) yf(z is the function illustrated below, defined only on E0,6 1.e 51 Compute the Fourier coefficlents for f(x) Now compute the cosine coefficients: An f)cos ()dz dr XCos(npix/6) -( d 0 Note: You can earn partial credit on this problem. Submit Answers Preview My Answers...
yf(x) is the function illustrated below, defined only on x E [0, 6]: 110 -1 Compute...
yf(x) is the function illustrated below, defined only on x E [0, 6]: 110 -1 Compute the Fourier coefficients for f(x) Since we are only interested in the interval [0, 6] the function is zero on [-6,0] and periodic: we don't care what happens anywhere else. We can pretend W -7 19
yf(x) is the function illustrated below, defined only on x E [0, 6]: 110 -1 Compute the Fourier coefficients for f(x) Since we are only interested in the...
solve for L, A0, An, Bn, and f(x). (1 point) y= f(x) is the function illustrated...
solve for L, A0, An, Bn, and f(x).
(1 point) y= f(x) is the function illustrated below, defined only on в€ (0,6): Б 10 -1. -1 Compute the Fourier coefficients for f(x). Since we are only interested in the interval 0,6|, we don't care what happens anywhere else. We can pretend the function is zero on -6,0 and periodic: 10 57 19
(1 point) y= f(x) is the function illustrated below, defined only on в€ (0,6): Б 10 -1. -1...
solve for L, A0, An, Bn, and f(x). f(x) is the periodic function illustrated below: y...
solve for L, A0, An, Bn, and f(x).
f(x) is the periodic function illustrated below: y 1/0 -9 Compute the Fourier coefficients for f(x)
f(x) is the periodic function illustrated below: y 1/0 -9 Compute the Fourier coefficients for f(x)
______________ We did not include a normalizing factor in (8.11), so Ilpk 112-2π and the Fourier coefficients of an integrable function f E L1 (T) are defined by 2π (8.12) -ikx 2nJ_π 8.2 For xe (0, π...
______________
We did not include a normalizing factor in (8.11), so Ilpk 112-2π and the Fourier coefficients of an integrable function f E L1 (T) are defined by 2π (8.12) -ikx 2nJ_π 8.2 For xe (0, π), let g(x) = x (a) Extend g to an even function on T and compute the periodic Fourier coeffi cients clg] according to (8.12). (Note that the case k = 0 needs to be treated separately.) Show that the periodic series reduces to...
Fourier Series for Odd Functions Recall that if f is an odd function, f(-x)f(x). An odd Fourier series has only the...
Fourier Series for Odd Functions Recall that if f is an odd function, f(-x)f(x). An odd Fourier series has only the sine terms, and can be approximate an odd function, so Fo(x) b sinx)+b2 sin(2x)+ b, sin(3x)+. Why is there no b, term in the series F, (x)? 1. 2. Using steps similar to those outlined for even functions, develop a rule for finding the coefficients to approximate any odd function on the interval [-π, π]. 3. If f (x)sin...
1. The Fourier series expansion of the function f(x) which is defined over one period by 3_ z, f(z) = 쓸 +Σ1@n cos...
1. The Fourier series expansion of the function f(x) which is defined over one period by 3_ z, f(z) = 쓸 +Σ1@n cos nπχ +h,sin ηπΖ] is 1<zc2. Find the coefficients an r sin ax cosar x cos ar dr = We were unable to transcribe this image
1. The Fourier series expansion of the function f(x) which is defined over one period by 3_ z, f(z) = 쓸 +Σ1@n cos nπχ +h,sin ηπΖ] is 1
Q#4: (24 points) Given the function y-f(x) shown below: na f(r) -3 (a) Calculate the period of fu...
Q#4: (24 points) Given the function y-f(x) shown below: na f(r) -3 (a) Calculate the period of function, T and frequency, (2TT)/T (b) Calculate the Fourier Coefficients Ao. An, and Bn of the Fourier series expansion of function, y-f(x). Here n 1, 2, 3,... (integers) (c) Write the Fourier series approximation of function, yf(x), in terms of numbers, n & x only
Q#4: (24 points) Given the function y-f(x) shown below: na f(r) -3 (a) Calculate the period of function,...
n=7 Question 3 3 pts Find the Fourier Sine series for the function defined by f(x)...
n=7
Question 3 3 pts Find the Fourier Sine series for the function defined by f(x) = { 0, 2n, 0 <*n n<<2n and write down, 1. The period T and the frequency wo of the Fourier Sine series 2. The coefficients for r = 1,2,3,...
FIND A0, An, Bn, and f(x)
f(x) is the function illustrated below, defined only on x E [0,4]: y 4 110 -1 -1 Compute the Fourier coefficients for f(x). For this question, we will reflect the graph around the y-axis to get an even function: 1 0 -5 13 -1 We get L =4 (x)dx A0 =
f(x) is the function illustrated below, defined only on x E [0,4]: y 4 110 -1 -1 Compute the Fourier coefficients for f(x)....
y=f(x)y=f(x) is the function
illustrated below, defined only on x∈[0,6]x∈[0,6]:
Complete the Fourier Coefficients? An is incorrect.
At least one of the answers above is NOT correct. 13 of the questions remain unanswered. (1 point) yf(z is the function illustrated below, defined only on E0,6 1.e 51 Compute the Fourier coefficlents for f(x) Now compute the cosine coefficients: An f)cos ()dz dr XCos(npix/6) -( d 0 Note: You can earn partial credit on this problem. Submit Answers Preview My Answers...
yf(x) is the function illustrated below, defined only on x E [0, 6]: 110 -1 Compute the Fourier coefficients for f(x) Since we are only interested in the interval [0, 6] the function is zero on [-6,0] and periodic: we don't care what happens anywhere else. We can pretend W -7 19
yf(x) is the function illustrated below, defined only on x E [0, 6]: 110 -1 Compute the Fourier coefficients for f(x) Since we are only interested in the...
solve for L, A0, An, Bn, and f(x).
(1 point) y= f(x) is the function illustrated below, defined only on в€ (0,6): Б 10 -1. -1 Compute the Fourier coefficients for f(x). Since we are only interested in the interval 0,6|, we don't care what happens anywhere else. We can pretend the function is zero on -6,0 and periodic: 10 57 19
(1 point) y= f(x) is the function illustrated below, defined only on в€ (0,6): Б 10 -1. -1...
solve for L, A0, An, Bn, and f(x).
f(x) is the periodic function illustrated below: y 1/0 -9 Compute the Fourier coefficients for f(x)
f(x) is the periodic function illustrated below: y 1/0 -9 Compute the Fourier coefficients for f(x)
______________
We did not include a normalizing factor in (8.11), so Ilpk 112-2π and the Fourier coefficients of an integrable function f E L1 (T) are defined by 2π (8.12) -ikx 2nJ_π 8.2 For xe (0, π), let g(x) = x (a) Extend g to an even function on T and compute the periodic Fourier coeffi cients clg] according to (8.12). (Note that the case k = 0 needs to be treated separately.) Show that the periodic series reduces to...
Fourier Series for Odd Functions Recall that if f is an odd function, f(-x)f(x). An odd Fourier series has only the sine terms, and can be approximate an odd function, so Fo(x) b sinx)+b2 sin(2x)+ b, sin(3x)+. Why is there no b, term in the series F, (x)? 1. 2. Using steps similar to those outlined for even functions, develop a rule for finding the coefficients to approximate any odd function on the interval [-π, π]. 3. If f (x)sin...
1. The Fourier series expansion of the function f(x) which is defined over one period by 3_ z, f(z) = 쓸 +Σ1@n cos nπχ +h,sin ηπΖ] is 1<zc2. Find the coefficients an r sin ax cosar x cos ar dr = We were unable to transcribe this image
1. The Fourier series expansion of the function f(x) which is defined over one period by 3_ z, f(z) = 쓸 +Σ1@n cos nπχ +h,sin ηπΖ] is 1
Q#4: (24 points) Given the function y-f(x) shown below: na f(r) -3 (a) Calculate the period of function, T and frequency, (2TT)/T (b) Calculate the Fourier Coefficients Ao. An, and Bn of the Fourier series expansion of function, y-f(x). Here n 1, 2, 3,... (integers) (c) Write the Fourier series approximation of function, yf(x), in terms of numbers, n & x only
Q#4: (24 points) Given the function y-f(x) shown below: na f(r) -3 (a) Calculate the period of function,...
n=7
Question 3 3 pts Find the Fourier Sine series for the function defined by f(x) = { 0, 2n, 0 <*n n<<2n and write down, 1. The period T and the frequency wo of the Fourier Sine series 2. The coefficients for r = 1,2,3,...
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