Sketch the following functions and find their Laplace Transforms: 1.) (t – 1)u(t – 1)

Q: 2 f(x) = (ae-4x + be-3x + ce-2x) if x > 0

A: The given problem is to find the Fourier cosine transform of the given function and also find the…

Q: 1-e g(t) t

A: Given the given function is gt=1-ett. Apply formula Lftt=∫s∞fsds L1=1sLeat=1s-a log a-log b=logab

Q: Let f(t) = e^t if 0=1   Write f(t) using step function and find the laplace transform. Also,…

A: We have to write f(t) using step function and find the laplace transform. Also, draw the graph.

Q: Derive the general formula for the Laplace transform of sin bt.

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Q: Sketch the graph of the function below and determine its Laplace transform. u(t - 5) - u(t - 10)

A: We have to find Laplace transform of given function and sketch the graph:

Q: Prdlem 6.36 Pert B)

A: It is double Integral

Q: e^3(t+2)/2. Find laplace transform of the function

A: Let's find Laplace transform of given function.

Q: Apply the translation theorem to find the inverse Laplace transform of the following function. 5…

A: Here we have to find out f(t) using inverse Laplace transform.

Q: f(t) = 6te-3t + te-5t sin5t + t² %|

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Q: to at

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Q: Find the inverse Laplace transform C-{F(s)} of the function 8 F(s) (s – 5)³ NOTE: The answer shouid…

A: Given that, F(s)=8(s-5)3 The Inverse Laplace Transform of the function is determined as shown below.…

Q: How is the existence of the Laplace transform of a function guaranteed?

A: We known that the  Existence of the Laplace transform of a function guaranteed

Q: a. Determine the formula for the Laplace transform. et sin 5t-t³ + e 2t) = (Type an expression using…

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Q: (d) 2 s² +9 (e) s²-1 (s² + 1)² (f) 1 (s −2)² - 4

A: The given Laplace functions,(d) (e) (f) .The aim is to find the inverse Laplace transform for each…

Q: Determine the transform of the following functions using any methods . e^3t sinh 3t

A: Given function is e3t sinh3t

Q: Find the Laplace transform of (cosht + 1)2.

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Q: 12. Laplace transform is used to convert function in terms of distance into a function in terms of…

A: 12. Laplace transform is used to convert function in terms of distance into        a function in…

Q: nd the Laplace Transform of f(t) = t³ if 1<t< 2 , and f(t) = 0 otherwise.

A:

Q: How does one find the inverse Laplace transform for the arccot(1/s)?

A: Let,

Q: Find ℒ{sin(at)}. For what values of s is this transform defined?

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Q: - 1 (s + a)5 as e F(s)

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Q: Question 4: Compute the Laplace Transform of tert. Question 5: Compute the Laplace Transform of…

A: Ft=tert