Write the following inverse Laplace transforms as convolutions (You do not need p evaluate the integral): (a) L-1 1 (c) L-1 |(s² – 2s + 2)(s² + 2s+2) (b) L-1 (d) C- (s² + 4)(s² + 1)

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: Sketch the graph of the parametric equations x = sint, y = 2 cos(3t), π ≤ t ≤ 27. Clearly label the…

A: We are to sketch the graph of the parametric equationsx = sint, y = 2 cos(3t), π < t < 2π.…

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: 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: L[2t2 + 5 – 3 cos nt), t > 0

A: We use the Linearity property and table of Laplace transform to find the answer of the given…

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: x b

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Q: Q5/ find the Fourier expression of f(x). f(x)=x+x² for _π< x <π -

A: I have done solution step by step in detail....go through the solution

Q: Evaluate the Inverse Laplace Transform 35+1 F(s)=- (s- 25)

A: Given is a function F(s)   To Find: Inverse Laplace Transform of F(s)

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: 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: 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: 5- 25 + 4 (s + 1)(s + 2)°

A: This is a problem of Laplace Transform.

Q: 1 L-1 (s² + 1) (s² + 4s + 8) J

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Q: Use the table of Laplace transforms to find the inverse Laplace transform of 8 6 F(s) s + 3 g2 + 5?…

A: Using inverse laplace of F(s) we have to find f(t)

Q: Find Fourier transformation of f(x) = (1-x) x<1

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Q: 3906250000 G(s) s2+6250s+3906250000

A: This is a problem of Laplace transform.

Q: 3s+5 F(s) s2-6s+25

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Q: Q)find the inverse Laplace transform 2p L-1 - (p² + 1)²) 2) r (m[1+) In

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Q: find the Inverse Laplace Transform 5² +95 + 6 s(s+ 1)(s + 3)

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

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: F: M2x2 → R, given by F(A) = det A; G: M2x2 → M2x2: given by G(A) = A'.

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

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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&gt;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: s²+6 (s²+1) (s²+4) Find the inverse laplace transform of using convolution theorem.

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Q: 2s2 – 3s + 5 - Find the inverse Laplace transform for s2 (s2 + 1)

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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&lt;z&lt;1 Now,         x(z)= z2z+12z-1 Using partial fraction,…

Q: Determine the inverse laplace transform of this function: 2 5+1 (s + 3)(5 +4s + 5)

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Q: 5s + 57 32(s + 2s + 17)

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