Find the inverse Laplac Transform of the following functions: 1 (i) s2+2s+1 s3 -s2+s–1 (iii) TD-2) 2s+4 (s+1)(s²–2)

Q: L-¹ s+2 2s²+4s+ 7

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Q: Determine inverse z-transform of the following equations: Z 2² a. b. (z-2)² (z-1)(z-0.5)

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Q: Using Laplace transform, solve the following simultaneous equations: y₁+3y1 - y2 u(t-1)et, Yo…

A: We solve given simultaneous equation by using Laplace transform.

Q: Determine inverse z-transform of the following equations: Z 2² a. b. (2-2)² (2-1)(z-0.5)

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Q: Use the properties to find Fourier transform. f(t) -10 -5 5 10 t (ms)

A: The given curve can be approximated to:

Q: What is the Inverse Fourier transform of: F(w) =: 19(25-w2), (25+w)2 Your answer should be expressed…

A: Given Fourier transform function is: Fw=1925-w225+w22 let us try to bring above function in to a…

Q: Find the inverse transform of the given function of s. e-35 s s²+4 u,(t)cos2(r– 3) A ® (1-u,(1))…

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Q: Find the inverse Laplace transform of: 1 1+2s (a) (b) s+7 - 2 s+4 (c) (d) s' +6s +10 s' + 2s +5

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Q: The Fourier transform of some function f(x) is A(k) 1+46,6, where a is some real number whose…

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Q: Find the Fourier Cosine Transform of the function ƒ(x) = (ae-4x + be−³x + ce-²x)² if x>0 if a = 2, b…

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Q: Q3: Find the following Fourier Transform using properties only: F{e=2t+6+j2(t=3)u(t – 3)}

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Q: Determine the Laplace transform of f(t) = (t - 2)5e-³t+6u(t-2), quoting which standard transform…

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Q: 2s2+5s-4 Find the inverse transform: F(s) s3+s2-2s A. 2 – et – 2e-2t C. 1+ 2et – e-2t B. 2 + et –…

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Q: 2s – 3 - 1. F (s) (s – 2)²(s + 5) 2s 2. G(s) = s2 + 8s + 25

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Q: Example F Taking the z-transform of each term of the second-order equation Yk+2 +a1Yk+1+a2Yk = Rk…

A: Let us consider the second order inhomogeneous difference equation  yk+2+a1yk+1+a2yk=Rk…

Q: -2 x(1) (a) 2

A: Please post multiple questions separately, as per policy first question has been solved. The given…

Q: Find the inverse Transform of the following: F(G) = 6s +19 S+ 2 3. %3D s?+25 52+25

A: Since you have asked more than one questions, we will solve first one for you. If you want other…

Q: 5- 25 + 4 (s + 1)(s + 2)°

A: This is a problem of Laplace Transform.

Q: Could you explain to me how to find the inverse Fourier transform of the function __ (w+4)² 32 a.…

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Q: w? + 21 F(w) w2 + 9

A: The objective is to determine the inverse function of F(w) F(ω)=ω2+21ω2+9         =ω2+9+12ω2+9…

Q: Find the Fourier Cosine Transform of the function -png f(x) = (ae-4x + be-3* + ce-2*) if x>0 -4х +…

A: The given function is fx=ae-4x+be-3x+ce-2x2 if x>0. Now simplifying given function, we have:…

Q: Find the inverse laplace transform of : -S -2s 1– 2e + e F(S) = (6? + 4) (s)

A: To Find the inverse Laplace Transform of given Problem first we will use the linearity property then…

Q: If F(p) is the complex Fourier transform of f(x), then complex Fourier transform of f(x-a) is…

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Q: Calculation: Rewrite the given function. Y [s] = 2s+3 s²+s+1 2s+1+2 e

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Q: The inverse Z-transform of the function x{z): for (1+2 (2-2)

A: Given, x(z)= 11+z-12-z-1 for ROC 12<z<1 Now,         x(z)= z2z+12z-1 Using partial fraction,…

Q: 7s-2 F(s) = (s+3)(s-4)(5s-1)

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Q: Find the given inverse transform (i) º (ii) 덱 s? + 6s + 1 1 (s-1)³ # 1 s²+2s - 8,

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Q: 2s2+1 Find the inverse transform: F(s) s(s+1)2 A. 3 – e-t – te-t C. 1- e-t + 3te-t B. 3 + e-t +…

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Q: 4s+4 Find the inverse transform: F(s) %3D s2 (s-2)

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Q: M=15 (M+3)z² (z+3)(z-1)²* 2. Find the inverse Z-transform of the function F(z) =

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Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

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