Challenge Problems: D f(6)=} S(t-2) +4 8Ct-3) tレ ILtし3 七フ3 9 gt) = 2 = e Ļ3/2

Q: Find the Laplace transforms of the following functions: 3 -4 (s + 3)² + 16 4s2 – 4s + 2 (s – 1)3 13…

A: Since you have posted multiparts questions and we can answer 3 subparts. So answered 1, 2 and 3.

Q: Laplace Transform (expt cos24t} is 1 f(s) = 2 S - 3 Option 1 O 1. f(s) 3 (s 3 164

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Q: Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the…

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Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9)

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Q: Evaluate L-In (7-s) s²-4

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Q: Evaluate: L-1 [2s-9) ls²+2)

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Q: y = e√√²t sin√√2t √2 (s-√2)² + √2 A) √2 (s -√2)² + 2 √2 (s + 2)² + 2 B) 2 (s-√2)² + 2 9

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Q: Find the inverse Laplace transform L-{F(s)} of the function 2 F(s) = s2 + 5s – 6 NOTE: The answer…

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Q: 24s? + 128 (s2 – 16)3

A: I have solved using partial fraction

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

A: To find: Use the method of cylindrical shells to find the volume of the solid obtained by rotating…

Q: Determine L-1. 2s² +10s (2s²-20s+58) (s+1)

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Q: FindiL [+ sin 5+] IDS a1) s (s*+25) C. S?-25 di) (5?+ 25)2

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Q: Determine the inverse Laplace transform of the function below. 2s - 54 5s² - 70s+325

A: The given Laplace function is .To find the inverse Laplace transform of the function.

Q: Determine £¹{F}. F(s) = 3s² + 42s + 119 (s + 5)² (s + 1) Click here to view the table of Laplace…

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Q: Determine ¹{F}. F(s) = 4s² +47s+129 (s+ 5)² (s+3)

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Q: 1 F(@) =: 2 - w?+j3w

A: It is known that .  Use the formula below to compute the inverse Fourier transform.

Q: (vii) f(t) = 4sin3t (viii) f(t) = 3cos2t

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Q: A ball is dropped from the top of a building. The height of the ball in metres above the ground at t…

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Q: Find L. T. for each of the following functions: (t-4)²u(t-4), (t-3)e-2(t-3) sin 4(t-3)u(t-3).

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Q: Determine the Laplace Transform of the given function -5s - 36 9. L-. |(s+2)(s² +9),

A: Given function Laplace transform

Q: 2) 55-0+2 (2 (5-) (s²-4)

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Q: (ix) f(t) = e-2t sin3t (xi) f(t) = 2e'(cos3t – 3sin3t)

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Q: lle s [ (s+5) ³ ] Use convolution to find L-19

A: Let's find inverse laplace by using convolution theorem.

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

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

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Q: 1 t3e0.035t 2

A: Use the following formulae, to obtain the solution. Laft=aLftLtkft=-1kdkdskLftLeat=1s-addxxn=nxn-1…

Q: Fourier Sevies Home wark4 1- Find the Fonrier trans formet fX) 2 ix @ Pex) = oylerewise

A: The given function is: f(x)=e2ixif  -1<x<10otherwise The Fourier transform of f(x) is given…

Q: Find L ^ { 4s (s² +9)² by using the convolution theorem.

A: Sol

Q: y = 3sinh (3t) 3 s² +9 A) 6 s² +9 3 S² - 9 6 S²-9

A: Given function is y= 3sinh(3t)

Q: Determine the inverse Laplace transform of the function below. 10 (3s +10)5

A: Here we have to determine the inverse Laplace transform of the function:Here we use the table of…

Q: obtain Fourier transformation of below functions: リそ(e)、e

A: Fourier transform of the function

Q: The Laplace inverse of 5/(s^4) is: O Non of These O 5^3 Ot*4/5 O 415 51^3/6

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