Homework 9 Determine the Laplace Transform of the given function Solution 6. c{fM}-G-1} * (8-4) 1 1 2. L{' -te + *}

Q: f (t) ) — е -4(t-2)² e

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Q: (a) Write the equation in slope-intercept form, and determine the slope and y-intercept. (b) Graph…

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Q: (s) = (1-3s) / (s^2+8s+21) A [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(-4t)] + [3*cos(sqrt(5)t)*e^ B…

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Q: The Inverse Fourier transform for e(2-6)i is 5-(3-w)t O 2H(t +2)e 10-(5–31)t OH(t+2)e 10+(5-31)t O…

A: We need to find the inverse Fourier transform of e2w-6i5-3-wi The inverse Fourier transform of 1wi+a…

Q: Find the Fourier transform of S (x) =!-\,| sin x dx Hence evaluate

A: Given,    f(x)= 1-x, x≤10        , x>1

Q: - 34 as f(4)= ė" ult-1) Solve it in fourier transformation

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Q: Can

A: Separate the denominator Take inverse Laplace transform Find f(t)

Q: z-transform of the sequence x(n) : =3u(n) is 3z/(z-1) O (z-1)/30 z/(z-3) O

A: We find Z-transform of x(n)=3u(n)

Q: Given that find the Laplace transform of √cos (8t) C{√/cos(8t)} = (-16)^(-8/s)/(88 (5/8)) CL cos(8t)…

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Q: z'+3z Find the inverse Z- transform of (z-1)°(z² +1)

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Q: Suppose a 3rd order constant coefficient ODE has a characteristic equation that had 3 distinct…

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Q: Results for this submission Entered 1/6ult-8)(e^(41-32)-e^(-2t+16)) The answer above is NOT correct.…

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Q: (c) Find the inverse Z-transform of Y(2) (32 – 1)(2+4)*

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Q: the Fourier transform of a continuous time signal x(t) is X(ja), then, the Fou ansform of the signal…

A: Given, Fourier transform of a continuous-time signal                                   x(t)  ↔…

Q: 2s – 7 - F(s) = %3D (s – 4)(s + 6)

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Q: 더 - C 1 -2s +6 s+2 82 - 4s + 8+1 C S-2 1

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Q: Approximate f' (2) using the given data f(0) = -8, f(1) = -7, f(2) = 0, and f(3) = 19 and the…

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Q: We can now rewrite L{y} as follows. (금) . (공) Liy} S- 5 s+ 4 Next, to solve for y, we apply the…

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Q: Suppose the function f: R→ R has Fourier transform 1 f(p) = e-p². 1+ 4π²p² i. What is the Fourier…

A: As per the question we are given the Fourier transform of a function f(x) as f̂(p) From that we have…

Q: 3 s + 10 s – 40 (t) (s³ – 4 s² – 7 s + 10) (s – 4) s

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Q: Please show all solution with explanation. thanks

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Q: 4.35 (Inverse Transforms) For each X(2), find the signal rn] for each valid ROC. 322 (a) X(2) = +…

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Q: Find E3,1 using the law according to the mittag Leffler function 1 +zEa‚ß+a(z) Γ(β) Ea‚ß(z) = =

A: Sol:-We are given the formula for the Mittag-Leffler function: Eα,β(z)=1Γβ+zEα,β+α(z)

Q: Since (7t^2) *e^(mt) - (7t^2) *sinh(at) = (t^2)(7e^(mt) - 7sinh(at)) What should you take the second…

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Q: Example F(s) = find the inverse Fourier transform: 6(s + 10) (s + 5)(s+8)

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Q: erfind the first agd decond derivatives oh the funchan

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Q: f(x)= 2+ Show that fe L²(R) and find the L²-norm of the Fourier transform of

A: Answer given below.

Q: Xpress

A: The Back shift operator is denoted as B and is defined asByt=yt-1 If yt shifts data to two back…

Q: For matrix A = (4 6 3 5 ). If f(x) = x2 - 5, calculate f(A)?

A: The given matrix is, A=4635. The function is f(x)=x2-5. For matrix multiplication: The number of…