Homework Answers
![ir nolih 2TL in -1 na nz in si merupakan LG,n_nguyen dal ne faut per un Th2 for no fres a ta frolde Po do t odo] TI - T fa](http://img.homeworklib.com/questions/7f471530-f735-11eb-b807-f10568a08634.png?x-oss-process=image/resize,w_560)
![L2zt. 리 ht 62f nodd */ 시 | N/ 8 ++ ) 중 + + + tit] 1 + 허유용 쯔 -](http://img.homeworklib.com/questions/81fc6150-f735-11eb-88da-abc7cba80fdd.png?x-oss-process=image/resize,w_560)
Add Answer to:
(4) Consider the function f(0) = 10 € C(T). (a) Show that the Fourier coefficients of...
(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...
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...
An important fact we have proved is that the family (enr)nez is orthonormal in L (T,C) and comple...
An important fact we have proved is that the family (enr)nez is orthonormal in L (T,C) and complete, in the sense that the Fourier series of f converges to f in the L2-norm. In this exercise, we consider another family possessing these same properties. On [-1, 1], define dn Ln)-1) 0, 1,2, Then Lv is a polynomial of degree n which is called the n-th Legendre polynomial. (a) Show that if f is indefinitely differentiable on [-1,1], thern In particular,...
Consider the periodic function defined by 1<t0, 0<t<1, f(t)= f(t+2) f(), and its Fourier series F(t): Σ A,...
Consider the periodic function defined by 1<t0, 0<t<1, f(t)= f(t+2) f(), and its Fourier series F(t): Σ A, cos(nmi) +ΣB, sin (nπί), F(t)= Ao+ n1 n=1 (a) Sketch the function f(t) the function is even, odd or neither even nor odd. over the range -3<t< 3 and hence state whether (b) Calculate the constant term Ao
Consider the periodic function defined by 1
Consider the function f(e) (T2) that is to be represented by a Fourier series expansion over the interval-π t π and...
Consider the function f(e) (T2) that is to be represented by a Fourier series expansion over the interval-π t π and f(t) = f(t + 2n). (b) Pertimbangkan fungsi f(c)(r t2) yang diwakili oleh kembangan siri π dan f(t) f(t + 2π). Founer dalam selang-π t Determine the Fourier series expansion. (i) Tentukan kembangan siri Fourer (7 marks/markah) (i) By using your answer in (), show that Dengan menggunakan jawapan anda dalam (), tunjukkan bahawa. -)n+1 (5 marks/markah)
Consider the...
Given the function f(x) -3x + 1 defined on the interval (0, 5], denote by fe the even extension o...
Given the function f(x) -3x + 1 defined on the interval (0, 5], denote by fe the even extension on [-5, 5] off. the Fourier series expansion of fe Find feF, + bn sin / - n-l that is, find the coefficients a , an , and bn , with n 1 . ao = anF
Given the function f(x) -3x + 1 defined on the interval (0, 5], denote by fe the even extension on [-5, 5] off. the...
3. Consider the function defined by f(x) = 1, 0 < r< a, | 0, a<...
3. Consider the function defined by f(x) = 1, 0 < r< a, | 0, a< x < T, where 0a < T (a) Sketch the odd and even periodic extension of f (x) on the interval -3n < x < 3« for aT/2 (b) Find the half-range Fourier sine series expansion of f(x) for arbitrary a. (e) To what value does the half-range Fourier sine series expansion converge at r a? [8 marks
3. Consider the function defined by...
Given the function f(x) = 4x +5 defined on the interval (0, 3, denote by fe...
Given the function f(x) = 4x +5 defined on the interval (0, 3, denote by fe the even 3,3 of f extension on Find fep, the Fourier series expansion of fe плг пте ao + 2 bsin fer (x) а, COs n-1 that is, find the coefficients ao an, and bn With n> 1 ao ат W |1 l
Given the function f(x) = 4x +5 defined on the interval (0, 3, denote by fe the even 3,3 of f...
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...
Problem 32: (20 points) Consider a periodic signal f(t), with fundamental period To, that has the...
Problem 32: (20 points) Consider a periodic signal f(t), with fundamental period To, that has the exponential Fourier series representation f(t) = Σ Dnejuont . where wo 2T/To and 1. (2 points) When f(t) is a real-valued, show that DD This is known as the complex conjugate symmetry property or the Hermitian property of real signals. 2. (2 points) Show that when f(t) is an even function of time that Dn is an even function of n 3. (2 points)...
(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...
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...
An important fact we have proved is that the family (enr)nez is orthonormal in L (T,C) and complete, in the sense that the Fourier series of f converges to f in the L2-norm. In this exercise, we consider another family possessing these same properties. On [-1, 1], define dn Ln)-1) 0, 1,2, Then Lv is a polynomial of degree n which is called the n-th Legendre polynomial. (a) Show that if f is indefinitely differentiable on [-1,1], thern In particular,...
Consider the periodic function defined by 1<t0, 0<t<1, f(t)= f(t+2) f(), and its Fourier series F(t): Σ A, cos(nmi) +ΣB, sin (nπί), F(t)= Ao+ n1 n=1 (a) Sketch the function f(t) the function is even, odd or neither even nor odd. over the range -3<t< 3 and hence state whether (b) Calculate the constant term Ao
Consider the periodic function defined by 1
Consider the function f(e) (T2) that is to be represented by a Fourier series expansion over the interval-π t π and f(t) = f(t + 2n). (b) Pertimbangkan fungsi f(c)(r t2) yang diwakili oleh kembangan siri π dan f(t) f(t + 2π). Founer dalam selang-π t Determine the Fourier series expansion. (i) Tentukan kembangan siri Fourer (7 marks/markah) (i) By using your answer in (), show that Dengan menggunakan jawapan anda dalam (), tunjukkan bahawa. -)n+1 (5 marks/markah)
Consider the...
Given the function f(x) -3x + 1 defined on the interval (0, 5], denote by fe the even extension on [-5, 5] off. the Fourier series expansion of fe Find feF, + bn sin / - n-l that is, find the coefficients a , an , and bn , with n 1 . ao = anF
Given the function f(x) -3x + 1 defined on the interval (0, 5], denote by fe the even extension on [-5, 5] off. the...
3. Consider the function defined by f(x) = 1, 0 < r< a, | 0, a< x < T, where 0a < T (a) Sketch the odd and even periodic extension of f (x) on the interval -3n < x < 3« for aT/2 (b) Find the half-range Fourier sine series expansion of f(x) for arbitrary a. (e) To what value does the half-range Fourier sine series expansion converge at r a? [8 marks
3. Consider the function defined by...
Given the function f(x) = 4x +5 defined on the interval (0, 3, denote by fe the even 3,3 of f extension on Find fep, the Fourier series expansion of fe плг пте ao + 2 bsin fer (x) а, COs n-1 that is, find the coefficients ao an, and bn With n> 1 ao ат W |1 l
Given the function f(x) = 4x +5 defined on the interval (0, 3, denote by fe the even 3,3 of f...
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...
Problem 32: (20 points) Consider a periodic signal f(t), with fundamental period To, that has the exponential Fourier series representation f(t) = Σ Dnejuont . where wo 2T/To and 1. (2 points) When f(t) is a real-valued, show that DD This is known as the complex conjugate symmetry property or the Hermitian property of real signals. 2. (2 points) Show that when f(t) is an even function of time that Dn is an even function of n 3. (2 points)...
Most questions answered within 3 hours.
-
Please answer the four questions below.
1. If you were going to test a method that...
asked 7 minutes ago -
Provide two or three examples of support he uses to reinforce
his arguments?
The Alienation of...
asked 14 minutes ago -
QUESTION 1
Why do we see terms with multiple names in the database
community?
Consistency is...
asked 10 minutes ago -
In a titration experiment, 11.5 mL of 0.400 M H2SO4 neutralized
48.0 mL of NaOH. What...
asked 14 minutes ago -
A shot-putter throws the shot with a horizontal velocity of 10
m/s and a
vertical velocity...
asked 30 minutes ago -
Mildred sells industrial-sized refrigeration units. Her
prospective buyer's face looks tense, and his forehead is wrinkled....
asked 31 minutes ago -
Clark Heter is an industrial engineer at Lyons Products. He
would like to determine whether there...
asked 1 hour ago -
3. Use a text editor to create a comma-delimited file of user
IDs and passwords. Revise...
asked 1 hour ago -
Jensen and Associates has a projected balance
sheet that includes the following accounts. What is the...
asked 47 minutes ago -
implement a doubly-linked list in C. Each node in the linked list should contain a string,...
asked 1 hour ago -
What are some best practices and things to avoid when developing
a PowerPoint presentation or file
asked 1 hour ago -
Consider the ways that the government can get involved in
economic issues. What role do you...
asked 48 minutes ago