12 13 14 2. Find Inverse Laplace transform for the following functions: a) F(s) = b) F(s) = s+7 s² - 6s +8 s² + 3 (s+ 2)² (2s² - s - 1)

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: Find the Laplace transform of the following: 1. f(t)= (14t)-3e-7t cos(8t) - (2t-6)²

A: Here given function ft=14t92-3e-7tcos8t-2t-62orft=14t92-3e-7tcos8t-4t2-36+24t Use the basic property…

Q: Determine the inverse Laplace transform of each of the following: 3e-2 F(s)=2-9 (a). (b). F(s) =…

A: We have to find out inverse Laplace transform for given functions.

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 Laplace transform of F₁ (s) (s+3)2

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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: 3- What is the Laplace transform of each of the functions shown in Fig. 1. f(1) 4 f(1) A с K b 0 a…

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Q: 1 F(s) = (s - 2)(s - 4)(s -8)

A: Given the expression of the inverse Laplace expression is: F(s)=1(s-2)(s-4)(s-8) Use partial…

Q: 1 Find the inverse transform: F(s) s2-4s+8 1 A. e2t sin 2t C.e2t cos 2t B. e2t sin 2t D. e2t cos 2t

A: The solution of the problem is given in the next step.

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: 2. (a) Show that gi(t)g2(t) G₁(f) * G₂(f) where denotes convolution and gi(t) = G₁(f), 92(t)=G₂(f).…

A: We start with the time-domain signals and their Fourier transforms:Now, the convolution in the time…

Q: Find the inverse Laplace transform of the following functions. 2e-3s s(s - 1)(s - 2) 3ge-5s (a) F(s)…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: ( ²-² + ² ) ✓ = 15² (8 ( ² + ² ) . ( ²/² + ²² ) ₂²² = ( − 15_³ = (5 55-³=1 (²-4), ( - ) ² = (

A: Topic:- Laplace transform

Q: 5- 25 + 4 (s + 1)(s + 2)°

A: This is a problem of Laplace Transform.

Q: Q1. Find the Fourier of the function in Fig.Q1 f(x) -a a x -a Fig.Q1

A: Q1.The function in Fig.Q1 is a sawtooth wave. The function can be defined as:f(x)=πa​xFourier Series…

Q: 7s2 – 3s + 26 F(s) (8 – 1)(s² + 9)

A: Explanation of the solution is given below...

Q: A Find the Laplace transform of each given function, all letters except t (and function names) are…

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Q: 3.) +248 3s-16 s²-24s+69

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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: H(s) = 1 s³ +bs² (use integral rule)

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Q: 2.) 98-8 s² +248

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Q: Find the Inverse Laplace Transform of each of the following: 1.) 42 9s-30 0 e

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Q: Q)find the inverse Laplace transform p + 1 1) L-' (p² – 1)² 1 2) L-1 \p(p² – 1)3) 1 L-1 (p² + 1)²/

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Q: 5s2-2s-19 7. F(s) = (s+3)(s-1)2

A: We have to find the inverse Laplace transform of given F(s).

Q: A. Find the Laplace Transform if the given is a function of t, and Inverse Transform if the given is…

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Q: -12 The inverse Laplace transform of (s+7)² is btet, where b, c and w are constants and t represents…

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Q: (b) Find the inverse Fourier transform of the following: (11) 1 √w√2π (3+jw)

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Q: 6 = (2) Find and draw the Fourier transform of f(t) = 9+t²

A: We have to find the Fourier transform..To find this we using cauchy residue theorem

Q: x2, Ixl a

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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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