Get the function in algebraic form, state its representation in terms of the function unit step and obtain its Laplace transform (the function becomes f(t)=0 after t=4)

Q: f(t) = 2sin(bt)sinh(bt)

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Q: Describe in your own words the method you would use to find the Laplace transform of the first…

A: The Laplace transform of function f(t) is given by Lft=∫0∞e-stft dt and is denoted by F(s). We can…

Q: Find the sine transform of a function of x which is equal to sin x for 0 <x<a and 0 for x2a.

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Q: 582 28s - 26 (s+2) (S-2) (5-2)

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Q: Find the Fourier Cosine Transform of the function ƒ(x) = (ae-4x + be−³x + ce-²x)² if x>0 if a = 2, b…

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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: Find the Fourier Cosine Transform of the function -mx f(x) = (ae-m +be¯¹x}³_if_x>0 if a = 5, b = 4,…

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Q: es F(s) Vs – 4

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Q: Find the Laplace Transform for the function e-Nt sin² (Nt)

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Q: x) = {0 ² ². 0, Determine the Fourier transform of the function: f(x) 0<*? x<0

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Q: What is the Inverse Fourier transform of: F(w)=, (w+6) Your answer should be expressed as a function…

A: To find inverse Fourier transform of Fw=-46+iw3 , we can use some standard Fourier transform…

Q: use the Laplace transform to solve the initial value problem.

A: It is required to solve the initial value problem using laplace transform:

Q: Find the Fourier transform of f(x) and show details f(x) = {x²² 18 -1<x<0 otherwise

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Q: What would be the laplace transform of a function of f or L{f(t)}?

A: Given: What would be the Laplace transform of a function of f or L{f(t)}?

Q: (Exercise 23 on page 225) Find the inverse Laplace transform of the function using the Heaviside…

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Q: Compute the Fourier transform of the following function: f(x) = e-a(r-x0)²+iqx (5) where a > 0 and q…

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Q: Find the Fourier Transforms of the indicated function: f (x) = e-3x for x > 0 and f (x) = e2x for x…

A: We have,fx=e-3xx&gt;0e2xx&lt;0 To Do: Find the Fourier Transform of the given function.

Q: Find Laplace transform for the function f(t) = 3 sin 4t .

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Q: Solve the Laplace Transform f(x) = 2/x

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Q: Find Fourier transform for the following functions:x(t)=3+(sin2wt)2

A: Given function is, xt=3+sin2wt2.      ........1 Fourier transformation: Fourier transformation of…

Q: Find the inverse Laplac Transform of the following functions: 1 (i) s2+2s+1 s3 -s2+s–1 (iii) TD-2)…

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Q: Find the function f(x) that has Fourier transform (k) = (1+k4)-1.

A: Here we have to find out  .Now from definition of inverse fourier transform , to evaluate this…

Q: Use the definition to find the Laplace transform of functions to follow

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Q: Obtain the Fourier transform of the function where f(x) = 0 for x &lt; 0 and f(x) = e−axsin(bx) for…

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Q: -Obtain the Fourier transform of f(t): = sin (30) -t²+7it+12

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Q: Determine the Fourier transform and plot the magnitude S1, It| < T/2 l0, otherwise (ii) x(t) = f(x)…

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Q: npute the Fourier transform of 2e33rt/2sinc(t/3 – 4)

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Q: Show how to do the Laplace transform of f(t) = t*cos(w*t) using the table of operational transforms.

A: Given  f(t) =t cos ω t

Q: If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t) = -e3it f(t) may be…

A: Here, gt=-e3jtft

Q: Find the Laplace transform of f(t) = sinbt .

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