c) The divergence of F(x) = (2x³y)i + (y2e?)j – (5x cos z )k is d) The inverse Laplace transform of { (s-1) (s-1)2+9 e) The Z-transform of {3 + 2" e-2n } is } is. .... ... f) The sum of the Geometric series ) is 3. 2" n=0

Q: using fourier series fur the function 2X Conclade that S(2n=1)-= so b) T 6. C) T? 8.

A: Your expression of series is typing mistake, it should be 1/(2n-1)².

Q: Consider the folowing +9, 1S O, + 2) - a) (a) Skench the graph of the given function for three…

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Q: The Laplace transform of L[2 sin 6t sin 3t] is 2s s2 + (3)2 s2 + (9)² s + (3)² s2 + (9)² | s2 + (3)²…

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Q: 5- Which of the following is the inverse Laplace transform of the function X (s) = s+ 4s +8 -2t cost…

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Q: 4] Find the Laplace Transform of f(t) = { S-1 (-/= + 5 = /₁1) (1te - 1/₁1) (a) (c) S S - I (b) (d) S…

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Q: Write the double Fourier series if f(x, y) = x²y², -<x<n, -n<y<m

A: We are given the following function.         f(x, y)=x2y2,  -π&lt;x&lt;π, -π&lt;y&lt;π Now, we need…

Q: Q3) Find Fourier series of the periodic (T = 2n) function f (x) = x² ,- I < x < t

A: 3)Given function is f(x)=x2, -π&lt;x&lt;πwe know that fourier series of f(x) isf(x)=a02+∑n=1∞an cos…

Q: Find the Fourier series to represent f(x): = edr in the interval -T < a < T. 2n(-1)" sinh aT T(a² +…

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Q: Q5) Find the complex exponential Fourier series representation of the following signal 1 -2 -3 3 -1

A: We will be using standard definition

Q: What is the value of the period (T) for Fourier Series of the function 12 f(x) = { ? - nSx<- and a)…

A: Since  f(x)= -1 for -π&lt;= x &lt; -π/2 and π/2 &lt; x &lt;= π   and             12   for -π/2 &lt;=…

Q: Sketch the function for 3 cycles: if - 4st<0 S(t) = 15 so if 0st<4 S(1) = f(t + 8) Find the Fourier…

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Q: Find Fourier series coefficients of the following periodic continuous time signal with period T=2c:

A: Given:

Q: a) Find the sum of En=1 3n-1 92-1 -1

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: 3. Find the Fourier series for the following function: f (x) = 64x³ for the interval (-n, 1) %3D

A: We need to find the Fourier series expansion of 64x^3.

Q: Q4) A. Find the Fourier series of the periodic function -K when -n < x < 0} K when f(x) = *, and…

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Q: ) Find Fourier series of the periodic (T = 2T) function f(x) = x² ,- n < x < n

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Q: 2. (a) Find the Fourier series for the function f(t) = t² on the interval [-7, 7].

A: Given the function  ft=t2, -π,π

Q: 6. show that the complex Fourier series of the function; f.(t) = t. ostsil is : jant f (t)... + + +…

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Q: 3. Find the inverse Laplace transform. a) 8s2 − 4s + 12/s(s2 + 4)

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Q: The Laplace transform of L[2 sin 5t sin 4t is s+ (1)2 s2 + (9)2. 2s s2 +(1)2 s2 + (9)2 s2 + (1)2 s2…

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Q: Question 5: Solve the equation t * + 5x + 6x 0 <t< 3 with f(t+3) = f(t) with x = 0 and i = -1 at 2'…

A: Hello. Since your question has multiple parts, we will solve the first part for you. If you want…

Q: Find the Z-transform of: 1. (n + 1)²

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 5) If f(x)= x ? ; (x +4)=f (x) b, The coefficient n in this Fourier series is : (-1)". (nz) (-1)** -…

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Q: Find the Z-transform of: 1. (n + 1)2

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The Fourier series to represent the function f(x)=2x in the range - T to + is 1 2x = 4 sin c,x - sin…

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Q: Find the 4-point discrete Fourier transform (DFT) of the sequence x(n) = {1, 5, 3, 1}.

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Q: The Laplace transform of L[2 sin 5t sin 4t] is

A: Laplace transform can be solved by using trigonometric identities and Laplace transform of…