Exercise2: Prove that the Laplace Transform of step function: (10120 10 X(s) = x(t) ={ |0 t<0

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

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Q: 7. Q(s) = S s² +64

A: GivenA Laplace domain function is defined as followsAimTo find the inverse Laplace transform of the…

Q: Get the function in algebraic form, state its representation in terms of the function unit step and…

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

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

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

Q: 6. a) Find the Fouriér Transform of f(x) = 1-x² (x) 1), b) Evaluate, - I Cosx-sinx cosdx

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

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

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Q: Q6/ Find the Inverse Laplace Transform 4-L-1( s-3 )

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Q: (t – 1)* 24 24 12 4 1 24 24 12 4. O option 2 Option 1 24 - 24s- 12s2+ 4s° + s4 24 - 24s +12s2- 4s +…

A: Using Laplace Transform to Evaluate the Function (t-1)^4

Q: Find the convolution of f(t) = 3t and g(t) = sin (21). You can either calculate f * g directly, or…

A: In the given problem we have to find the convolution of two function f(t) and g(t) using the…

Q: Elimination of Arbitrary Constant Find the differential equations of the following relations : 1.…

A: 1. x2+y-r2=r2⇒x2+y2+r2-2yr=r2⇒x2+y2-2yr=0 ....i Differentiating both sides…

Q: Solve the fourier transform of the following functions: 2. f(x) = {x if 0 < x < a otherwise

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Q: Determine the Laplace transform of the function f(t) = (t + 2)².

A: We need to determine the Laplace transform of the function: ft=t+22.