Give the Laplace transform of -2x 0Sx and x < 3 f(x) = 4 3

Q: L-¹ s+2 2s²+4s+ 7

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Q: 4. Find the inverse z- transform of the following 3 de XCZ)= tanh (z-)

A: Given: Let us find the inverse z-transform of the given following, xz=tanh-1z2-14

Q: Find the Inverse Laplace Transform of 1 s²-8s+25

A: The given function is 1s2-8s+25 completing squares 1s2-8s+25=1s2-8s+16+9=1s2-24s+42+9=1s-42+9

Q: * Find the inverse Laplace transform for-1 1 F(s) s – 2s + 5 1 -e²"sin2t 2 1,2'sin2t e'sin2t خيار 1…

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Q: SOLVE FOR INVERSE LAPLACE TRANSFORM 6s – 4 - s2 4s + 20

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Q: The Laplace transform of (1-cosh 2r) is a) 2 b) 2 -+- 1 d) s-4 S S+4 S s+4

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Q: Determine the Laplace transform of (1 + e-t)2 7s2-7s-10 a. s(s+1)(s+2) 14s+2s+13 b. s(s+1)(s+2)…

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Q: Find the laplace transform of f(t)= t²e³t sin 4t OF (s) OF (s) = OF (s) = OF (s) = OF (s): - OF (s)…

A: This question is related to Laplace transform, we will solve it using given information.

Q: The Laplace transform of L2 sin 6t sin 3t] is S - s + (3)² s2 + (9)2 S 2s + (9)* s2 + (9)² s² + (3)²…

A: Solution by using trigonometric identities and Laplace transform table as follows :

Q: Obtain Z-transform of ( G) -e-Ts S \s+1

A: Consider the given function: X(s)=1-e-Tss1s+1=1-e-Tss(s+1)

Q: If the z-transform of x[n] is X(z), then, the z-transform of 2"x[n] 1S X(z') X(2z)

A: The expression, X(Z) , denotes the Z-transform of a discrete time signal, x(n) . The X(Z) is defined…

Q: 2. Use Laplace transform properties to compute 2.1. {f(1 – e")du} -

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Q: 5. Use Laplace transform technique to solve , y"-y'-6y = 0, Given y(0) =1 and y'(0) = -1

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Q: Find the Inverse Laplace transform of  (6s+3)/ (s^4)+(5s^2)+4

A: To find the inverse laplace of any rational function , write the partial fraction of the function .…

Q: I have not yet been taught Laplace Transform by my lecturer, I believe. Isn't there another way…

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Q: Consider the IVP: y" - y' + 2y = 8sin(2t) - 8, with y(0) = -2, y'(0) = -4. Solve the IVP by using…

A: Given IVP is y''-y'+2y=8sin2t-8              (i) With y0=-2, y'0=-4 Taking Laplace transformation of…

Q: Determine the Laplace transform of (t +2). 2+2 O 2+4s+4s O.4*+4s+1

A: The solution is given as

Q: What is the Laplace transform of f (t) = e2" (sin 2t – 1)? 16s 16 s6s2 +16s12 6s 16 s 6s2+16s 16 16s…

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Q: Find the laplace transform of ƒ (t) = 3t³ − 2e²t + 2 cos 2t OF (S) = OF (s) = OF (s) = OF (s) = OF…

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Q: Give the Laplace transform of 2 0 <x and x < 3 (x) = 3<x and x <4 4 4 3x -3s +e3* + 5 3 -4 + 2 e*'s…

A: Inverse Laplace transferom

Q: (2) Find Inverse Laplace transform for; 1 1-F(s)= s(s +1) 3 2-F(s)=- s' +4

A: We need to find the inverse Laplace transform. Part(1) We have 1ss+1 We use partial decomposition.…

Q: Give the Laplace transform of 3x f(x): 0 <x and x < 3 -4 3 3x 3 2 + 2 -3s 4 F(s) = + e 3 -3s 15 3 10…

A: Option C is correct.

Q: What is the value of the inverse Laplace transform given by L 2s+1 8 J s2 +2s +3 O a. e-t (2…

A: Some Laplace inverse transform formulas: L-1(s-a)(s-a)2+b2=eatcosbtL-1b(s-a)2+b2=eatsinbt

Q: 7. Find the canonical form of (x+y+z)². Also specify the corresponding orthogonal transforma-

A: Given expression is x+y+z2. We have to find the canonical form of x+y+z2. Expand x+y+z2, we get…

Q: Use the linearity of L-, partial fraction expansions, and a table of Elementary Laplace Transforms…

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Q: Determine the Laplace Transform of cosh(3t)+3e O (4s2-2s+27)(s3-252+9s-18) O (s2+6s-3y(s³-2s2+9s-18)…

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Q: 5. Determine the Laplace Transform of te2t cos5t s2-2s+11 a. (s²+4s–29)² s2+2s+21 b. (s2+4s+13)2…

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Q: Find the laplace transform of f(t) = e-3t cos nt s+3 82 -6z+9+7? 8-3 s +6x+9+n 8+3 s2 +6s+9+7 8-3 g2…

A: Solution

Q: -4s Using Laplace transform tables or otherwise, find L-1

A: Please check step 2 for the solution.!

Q: Find the Laplace transform of (e^ (2t)) sinh (4t) (-s^3 + 11s 2 1. (e^ (3t)) cos (5t). A. 56s + 196)…

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Q: The Laplace transform of L[2 sin 5t sin 4t is s+ (1)2 s2 + (9)2. 2s s2 +(1)2 s2 + (9)2 s2 + (1)2 s2…

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Q: Give the Inverse Laplace Transform of s/((s+2)(s^2+4)). * O -1 + (e^(2t))cos(3t) O t+ (9/4)e^(-2t) -…

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Q: Find the Laplace transform of U2 (t – t) e" sin(2t)dt 2e-25 s (s²+2s+5) 2e-2s s(s²–2s+5) e-2s…

A: Here we will find out the required Laplace transform.

Q: Give the Laplace transform of -4 x- 3 0 <x and x < 2 (x) = 2 2 <x 2 F(s) 1 3 + -2s +e 2 2 +e + -2s 2…

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Q: Determine the Inverse Laplace transform for 5s + 2 1 +6s+13) 1- f(t) = 5e³t sin 3t+ 13 e³t cos 3t O…

A: We have determined the inverse Laplace transform for ℒ-15s+2s2+6s+13 .

Q: 5. Use Laplace transform technique to solve v"-y'-6y = 0, Given v(0) = 1 and y'(0) = -1

A: Solution: The objective is to find solution to the given differential equation using Laplace…

Q: 7 Find the inverse Laplace transform of using Residue theorem. (s+3)(s²+5s+6)

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Q: Determine the Laplace Transform of cosh(3t)+3e-2t O (4s2-25+27)(s3-2s2+9s-18) O…

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Q: 4. Determine the Laplace transform of (1 +et)2 7s2-7s-10 a. s(s+1)(s+2) 14s2+2s+13 b. s(s+1)(s+2)…

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Q: Inverse laplace transform of 1 is s - 4S + 4

A: Here we use the laplace transform formula to find the inverse laplace transform of the given…

Q: If X(z) is the z-transform of the signal x(n), then what is the z- ?transform of the signal x(-n) x…

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Q: The Laplace transform of -2t 2e is 2 2 Select one: O True O False

A: We have to find laplace transform of 2e^(-2t) We know that  L{e^(-at)} = 2/(s+a) Here we have a=2

Q: will rate if correct.

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Q: Determine the Inverse Laplace transform for 5s + 2 C-¹{² +65 +13) 1- f(t)= 5e³ sin 3t+ 13 e³ cos 3t…

A: Given problem:-

Q: Find the Inverse Laplace Transform 11s – 2s +5 2s3 – 3s2 – 3s + 2 |

A: Given Inverse Laplace Transform isL-111s2-2s+52s3-3s2-3s+2The Inverse Laplace Transform is…

Q: 7s Inverse Laplace transform of is given by s2-9 O 7 cosh(3t) O 7 sinh(3t) O 7 cos(9t) O 7 cos(-3t)

A:

Q: 2) Solve the difference equation using z-transform yk+2 - 3 yk+1 + 2 yk = 0, with yo = 0, y, = 1.…

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

Q: Find the inverse Laplace transform 01 2 Ou44(1-4) usinh(t — 4) O sinh4(1-4) 0 1 u4cosh4(1-4) 01 4…

A: Given problem:- Find L-1e-4ss2-16