Please solve these 3 questions and please give me a detailed explanation for your answer. Hopefully your answers are correct. Please help me out because I am stuck on how to solve these problems for a long time.
2. Find the value of 32 527 7L n-1,n-odd Hint: Evaluate the following Fourier series at 0 using the fact that the Fourier series of period 4 for the function f(x)- 2 - Ix| defined on (-2,2) is 1l n= 1 ,n-odd
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Please solve these 3 questions and please give me a detailed explanation for your answer. Hopeful...
(3) Solve the following BVP for the Wave Equation using the Fourier Series solution formulac (3a2 u(r, t) 0 u(0, t)0 u(...
(3) Solve the following BVP for the Wave Equation using the Fourier Series solution formulac (3a2 u(r, t) 0 u(0, t)0 u(T, t) 0 u(r, 0) sin(x)2sin(4r) 3sin(8r) (r, 0) 10sin(2x)20sin (3r)- 30sin (5r) (r, t) E (0, ) x (0, 0o) t >0 t > 0 1
(3) Solve the following BVP for the Wave Equation using the Fourier Series solution formulac (3a2 u(r, t) 0 u(0, t)0 u(T, t) 0 u(r, 0) sin(x)2sin(4r) 3sin(8r) (r, 0) 10sin(2x)20sin (3r)-...
1. Consider the Partial Differential Equation ot u(0,t) = u(r, t) = 0 a(x, 0)-x (Y), sin (! We know the general solution to the Basic Heat Equation is u(z,t)-Σ b e ). n= 1 (b) Find the unique solutio...
1. Consider the Partial Differential Equation ot u(0,t) = u(r, t) = 0 a(x, 0)-x (Y), sin (! We know the general solution to the Basic Heat Equation is u(z,t)-Σ b e ). n= 1 (b) Find the unique solution that satisfies the given initial condition ur, 0) -2. (Hint: bn is given by the Fourier Coefficients-f(z),sin(Y- UsefulFormulas/Facts for PDEs/Fourier Series 1)2 (TiT) » x sin aL(1)1 a24(부) (TiT) 1)+1 0
1. Consider the Partial Differential Equation ot u(0,t) =...
There are 3 questions on this assignment. The marks awarded for each part are indi- cated in boxes. 1. Consider the fun...
There are 3 questions on this assignment. The marks awarded for each part are indi- cated in boxes. 1. Consider the function defined by f(x) = 0 and f(x)-f(x +4) 1 (a) Sketch the graph of f(x) on the interval -6,6 (b) Find the Fourier series representation of f(z). You must show how to evaluate any integrals that are needed 2. Consider the function f(x) (a) Sketch the odd and even periodic extension of f(x) for-3< x < 3m (b)...
0 3 and z s 6 We then extend it to an odd periodic function of period 12 and its graph is display...
0 3 and z s 6 We then extend it to an odd periodic function of period 12 and its graph is displayed below 2 y 1 -105 5 10 15 2 The function may be approximated by the Fourier series where L is the half-period of the function Use the fact that J(e) and fe)cL) are odd functions, enter the value of en in the box below f(z) cos an 0 for n 0,1,2,... Hence the Fourier series made...
Please give a detailed answer and explanation. Question 2 Let f(x) =x+x3 for x e [0,...
Please give a detailed answer and explanation.
Question 2 Let f(x) =x+x3 for x e [0, π] . what coefficients of the Trigonometric Fourier Series of f(x) are zero? Which ones are non-zeros? Why? Let g (x) = cos (r) + sin (x*). What coefficients of the Trigonometric Fourier Series of g(x) are zero? Which ones are non-zeros? Why? (a) (b)
Please answer question 3&4 by using functions (a)-(e) For most of the following problems, you need to refer to the...
Please answer question 3&4 by using functions (a)-(e)
For most of the following problems, you need to refer to the following functions: (а) f(г) — т, х € (-п, т) 0 0 (b) f(x) x > 0 (c) sin(r (d) r, E (0, 1) (e) sin(r) 3. Graph at least 2 periods of functions (a), (b), (c), and (e). Assume the func- tions were originally defines on (-7,T) and are periodic with period 2t. State whether each function is odd,...
need the answer for G please and thank you 1. Find the Fourier series coefficients of...
need the answer for G please and thank you
1. Find the Fourier series coefficients of the following periodic signals 2πη πη π x[n] = [1 + sin(一)I cos (C -) e. x[n] = ( 21)-) y[n-1], y[n] is a periodic signal with period N = 8 and Fourier f. series coefficients of bk - -bk -4 cOS
can you please give me a detailed explained answer. I'm struggling with this topic. like and...
can you please give me a detailed explained answer.
I'm struggling with this topic.
like and comment are rewarded for clear answers.
(b) Consider a conical surface S described by r(u, u) = u cos uz + u sin uit (1-u) k with an (i) Sketch the surface in the coordinate system defined by the axes i, j, k and the origin. (ii) Find OuT x o,r (ii) Evaluate the fluxJs F ds where the vector field F ri +...
Please give me detailed solutions step by step, I am just trying to learn, thank you...
Please give me detailed solutions step by step, I am just trying
to learn, thank you so much in advance! 2016
QUESTION 1 Q 1(a) Obtain the z-Transforms of each of the following signals ITOTAL MARKS: 25] [6 Marks In] = cos (-_-) uln] 2 marks] u nun - marks] 0-S Q 1(b) The signal x[n], (of length 4 samples) is defined as: x[n-(1,-1,12) [7 Marks] (i) Write down the Discrete-time Fourier Transform (DTFT) of xn [2 marks] (i) pn]...
can you please give me a detailed explained answer. I'm struggling with this topic. like and comment are rewarde...
can you please give me a detailed explained answer.
I'm struggling with this topic.
like and comment are rewarded for clear answers.
(b) Consider a conical surface S described by r(u, u) = u cos uz + u sin uit (1-u) k with an (i) Sketch the surface in the coordinate system defined by the axes i, j, k and the origin. (ii) Find OuT x o,r (ii) Evaluate the fluxJs F ds where the vector field F ri +...
(3) Solve the following BVP for the Wave Equation using the Fourier Series solution formulac (3a2 u(r, t) 0 u(0, t)0 u(T, t) 0 u(r, 0) sin(x)2sin(4r) 3sin(8r) (r, 0) 10sin(2x)20sin (3r)- 30sin (5r) (r, t) E (0, ) x (0, 0o) t >0 t > 0 1
(3) Solve the following BVP for the Wave Equation using the Fourier Series solution formulac (3a2 u(r, t) 0 u(0, t)0 u(T, t) 0 u(r, 0) sin(x)2sin(4r) 3sin(8r) (r, 0) 10sin(2x)20sin (3r)-...
1. Consider the Partial Differential Equation ot u(0,t) = u(r, t) = 0 a(x, 0)-x (Y), sin (! We know the general solution to the Basic Heat Equation is u(z,t)-Σ b e ). n= 1 (b) Find the unique solution that satisfies the given initial condition ur, 0) -2. (Hint: bn is given by the Fourier Coefficients-f(z),sin(Y- UsefulFormulas/Facts for PDEs/Fourier Series 1)2 (TiT) » x sin aL(1)1 a24(부) (TiT) 1)+1 0
1. Consider the Partial Differential Equation ot u(0,t) =...
There are 3 questions on this assignment. The marks awarded for each part are indi- cated in boxes. 1. Consider the function defined by f(x) = 0 and f(x)-f(x +4) 1 (a) Sketch the graph of f(x) on the interval -6,6 (b) Find the Fourier series representation of f(z). You must show how to evaluate any integrals that are needed 2. Consider the function f(x) (a) Sketch the odd and even periodic extension of f(x) for-3< x < 3m (b)...
0 3 and z s 6 We then extend it to an odd periodic function of period 12 and its graph is displayed below 2 y 1 -105 5 10 15 2 The function may be approximated by the Fourier series where L is the half-period of the function Use the fact that J(e) and fe)cL) are odd functions, enter the value of en in the box below f(z) cos an 0 for n 0,1,2,... Hence the Fourier series made...
Please give a detailed answer and explanation.
Question 2 Let f(x) =x+x3 for x e [0, π] . what coefficients of the Trigonometric Fourier Series of f(x) are zero? Which ones are non-zeros? Why? Let g (x) = cos (r) + sin (x*). What coefficients of the Trigonometric Fourier Series of g(x) are zero? Which ones are non-zeros? Why? (a) (b)
Please answer question 3&4 by using functions (a)-(e)
For most of the following problems, you need to refer to the following functions: (а) f(г) — т, х € (-п, т) 0 0 (b) f(x) x > 0 (c) sin(r (d) r, E (0, 1) (e) sin(r) 3. Graph at least 2 periods of functions (a), (b), (c), and (e). Assume the func- tions were originally defines on (-7,T) and are periodic with period 2t. State whether each function is odd,...
need the answer for G please and thank you
1. Find the Fourier series coefficients of the following periodic signals 2πη πη π x[n] = [1 + sin(一)I cos (C -) e. x[n] = ( 21)-) y[n-1], y[n] is a periodic signal with period N = 8 and Fourier f. series coefficients of bk - -bk -4 cOS
can you please give me a detailed explained answer.
I'm struggling with this topic.
like and comment are rewarded for clear answers.
(b) Consider a conical surface S described by r(u, u) = u cos uz + u sin uit (1-u) k with an (i) Sketch the surface in the coordinate system defined by the axes i, j, k and the origin. (ii) Find OuT x o,r (ii) Evaluate the fluxJs F ds where the vector field F ri +...
Please give me detailed solutions step by step, I am just trying
to learn, thank you so much in advance! 2016
QUESTION 1 Q 1(a) Obtain the z-Transforms of each of the following signals ITOTAL MARKS: 25] [6 Marks In] = cos (-_-) uln] 2 marks] u nun - marks] 0-S Q 1(b) The signal x[n], (of length 4 samples) is defined as: x[n-(1,-1,12) [7 Marks] (i) Write down the Discrete-time Fourier Transform (DTFT) of xn [2 marks] (i) pn]...
can you please give me a detailed explained answer.
I'm struggling with this topic.
like and comment are rewarded for clear answers.
(b) Consider a conical surface S described by r(u, u) = u cos uz + u sin uit (1-u) k with an (i) Sketch the surface in the coordinate system defined by the axes i, j, k and the origin. (ii) Find OuT x o,r (ii) Evaluate the fluxJs F ds where the vector field F ri +...
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