Find the Laplace Transform of the following piecewise functions. (Use * between terms and exp(a) for e“) 0 3 t: i) f(t) = { Answer: F (s) =

Q: f(t) = sinhtcost

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Q: Use the Convolution Theorem and this example to evaluate the given Laplace transform. Do not…

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Q: Which of the following is NOT an even function? O y = (x - 5)* O y = |a| Oy = 4 - a O y = 3x?

A: For an even function f(-x) = f(x). Check the each options.

Q: Find the Laplace transform of f (t) = t 2 7-t 0 if 0 7

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Q: Determine the Laplace Transform of the given function 1-t, 0<t<1 1-1, 1. f(t) = [0, 1st

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the inverse Laplace transform L-{F(s)} of the given function. 18 F(s) = s2 + 9 Your answer…

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Q: 3. Find the inverse Laplace transform of F(s) = 180+18,²+354

A: Applying this to each term:  So, the inverse Laplace transform of F(s) is: f(t)=4t6​+43​t4+23​t2…

Q: s2 + 6s + 8 G(s) = s4 + 8s2 + 16° xnlanation calculation IS we

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Q: 5. f(t) = 3e -3* (4cos5t – 3sin7t) 6. f(t) = 3(2 – 2e-at)

A: 5)  Given function , ft=3e-3t4cos5t-3sin7t . . .(1) We use some formulae Laplace transform:…

Q: Use the annihilator method to determine the form of a particular solution for the given equation.…

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Q: Find the inverse Laplace transform L-1{F(s)} of the function 6 F(s) = (s – 1) NOTE: The answer…

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Q: Find the inverse Laplace transform f(t) = L¹{F(s)} of the function F(s) = = f(t) = L -- {7+5)-1…

A: Solution:-