Define the Periodic laplace transform Shown below. f(t) A L 234 1 >t

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

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Q: Use the properties to find Fourier transform. f(t) -10 -5 5 10 t (ms)

A: The given curve can be approximated to:

Q: (a) f(t) = cosh² t (b) f(t) = 2 sinh? 2t 2

A: To find the Laplace transforms of the given functions we will use the following table of Laplace…

Q: 2. F(s): = 3s² +5s-4 S4

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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: Find the Laplace transform of the function below. f(t) = 2 0<t≤5 5 <t ett

A: We have to find Laplace transform of the given function. We will use definition of Laplace transform…

Q: Using definition, determine the Laplace Transform of the function represented by the graph shown…

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

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Q: sin 3t 4. f (t) t

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Q: sketch the given function and determine its Laplace transform.

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Q: G(t) = t5 – e-9t + 5(t – 1)?

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Q: e-9s F(s) = g2 – 3s – 10 ||

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Q: What is the laplace transform of the periodic function shown in the picture.

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Q: 2. Determine the Laplace transform of the given function using the Table coshbt te3t sin2 t

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Q: Determine the magnitude of the Fourier transform of the function 7.5e-3t u(t) for a frequency of 3…

A: We have to Determine the magnitude of the Fourier transform of the function 7.5e^(3t )u(t) for a…

Q: 3. Find the inverse Laplace Transform of the g

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Q: Sketch the graph of the function below and determine its Laplace transform. (t- 3)2u(t- 3)

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Q: lace transform for the periodic function. + 2. 4. 1.

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Q: Find the Laplace transforms F(s) of the following functions: a. 4t+3 b. 5e²¹ +4e-3t c. 3t² +8 sin 5t

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Q: d³c(t) dt3 d?c(t) , dc(t) + dt d?r(t) dr(t) + 4- dt + 3r(t) +3- + 5c(t) = dt2 dt2 dc(0)_ d²c(0) c(0)…

A: Applying the laplace transform of the equation.

Q: Q3. Define the function shown in figure as f(t) and then take Laplace transform. 1 1 2

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Q: F(t) = 2T, 0 < t <3; F(t+ 3)u(t – -

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Q: f(t) 1 4

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Q: Sketch the graph of the function below and determine its Laplace transform. u(t - 4) – u(t – 7)

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