1. Find the Laplace transform of the following: a) f(x) = x5 e-* b) f(x) = x3 + 3 cos2x 2. Find the inverse Laplace transforms, as a function of x , of the following functions: 1 a) 2s-3 2s+1 b) (s-1)2+7 2 c) (s2 +1) (s-1)2

Q: (2) Apply inverse Laplace transform and find f(t) of the following: 6(5+3) S (5+1) (5+2) a) F(s) =…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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: 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: Find the inverse Laplace transform of the function as + b H(s) = (s – a)2 + 32 °

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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: 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: Q.1) Find the Laplace transform of the following: a) f (1)=3sin2 21 b) f (1)=3 +° c) f (1)=2cos2t…

A: To solve the following problem we will use the standered result of laplase transformation

Q: -i 5.8.2. (a) Evaluate the discrete Fourier transform of -1 1 i (b) Evaluate the inverse transform…

A: Solve each using the properties and method of determining discrete Fourier transform and inverse…

Q: a) make the Inverse Laplace Transform of the given function. Show all decals in detail and simplify…

A: Since you have asked multiple question, we will solve the first question (a) for you. If you want…

Q: Find the Fourier Transformation of II (t-) Select one: O l sinc(f) O ef sinc(2f) O jrf sinc(f) 3jef…

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Q: L{e-2t cos3t}

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Q: Find the inverse Laplace Transform of F(s) 2s2 + s -3 F(s) = s4 +3s2 + 2

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Q: Find Laplace transform of the function f(t) = cos(2t + 3)+e¬'u(t – 4) + tcosh²2t

A: Use the following formulas while calculating the Laplace transform of the given function.…

Q: Find Laplace transform of the function f(t) cos(4t + 5) + e-tu(t – 6) + tcosh²4t

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

Q: Apply the translation theorem to find the inverse Laplace transform of the following function. 6s+…

A: In this question we will find the inverse Laplace transformation.

Q: 2. Calculate the inverse Laplace transform: 2s (a) C- C-¹ { 25+32 }; (b) C-¹ ( 25-3₂} 2s L-1

A: We have to find the Laplace inverse transformation of and

Q: Question 4-) Let Fourier Transform of the signal r(t) be X(jw). Assume that g(t) satisfies the…

A: Given that, Fourier transform of the signal xt be Xjw. (a) By the fourier transform of xt=Xjw.…

Q: QUESTION 2 a) b) Use the properties of inverse Laplace transform to find: es +s+1 s²+2s-17 i) ii)…

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Q: Find the Laplace transform of the following function. That is, determine coefficient D f(t) =…

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Q: 6. Find the inverse Laplace transform of the function (B² – a²)(as + b) (s² + a²)(s² + B²)" I(s) =

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Q: B- Find Inverse Laplace transform of the following functions F(s)= 2s-7 (s+ 6)(s² + 4) G(s) = s(s² +…

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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: 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: XP+2ap +2a') ple 23: Find the inverse Fourier sine transform f(x) of F, (P- ap

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Q: 2. Determine the Laplace transform of the following functions. Here you may use common identities…

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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: Find the inverse Fourier transform of 27 + 8(w). (a) 1+ 8(t) (b) + 8(t) (c) + 27 8(t) (d) 1+2 8(t)

A: Option (c) is correct.

Q: If the Fourier transform of f(x) is f(k): f(x) x (a) Find the Fourier transform of in terms of f(k).…

A: Given that the Fourier transform of  is .We need to find the Fourier transform of  in terms of .We…

Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = £{f(t)} and n = 1, 2, 3, . . .,…

A: If f(t) is a function of t defined for all positive value of t, then the Laplace transform of the…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: This question is about Laplace transformation.

Q: Find the inverse transforms of the following functions: F(w) = 478(w) — j2/w + 4л8(w - 2)

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