f(t) = cos 5t – 3t² s4-6s2-30 s4-6s2-150 а. F(s) с. F(s) s5+25s3 5s3-6s²–150 s5+5s3 5s3-6s2-30 b. F(s) d. F(s) s5+5s3 55+25s3

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

A:

Q: find the laplace transform of the equation: f(t)= 2t^3 e^-4t

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Q: Apply the properties of laplace transform including the linearity property, shifting property, and…

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Q: How to find the Laplace transform of this equation? f(t)=sinh^2 t

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Q: Find the Laplace transforms of the functions. f(t) = 3t^5/2 - 4t^3

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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.

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Q: Find te Inverre laplace transform of F(s) 48 2. |

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Q: Use Properties of the Laplace Transform to find £{sin³/}

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Q: What is the Laplace transform of f(X)=e^(-6x)

A: Calculate Laplace transform: ∫0∞fxe-sxdx=∫0∞e-6x·e-sxdx                       =∫0∞e-s+6xdx…

Q: t'e5t - e'cos v7t

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Q: Find the Laplace transform F(s) = L{f(t)} of the function f(t) = 8th(t - 7), defined on the interval…

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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

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A: The explanation of the solution as follows:

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Q: Find the laplace transform of f(t) =1/4 e^2t sin(2t)

A: Find the laplace transform of f(t) =1/4 e^2t sin(2t)

Q: the laplace transform of (t)= t^1/2 as F(s)=sqrt of pi/s, find Laplace transform of 7t^3/2.

A: L7t32=7Lt32Use Laplace Transform table:   Ltn-1/2=2n-1!!π2nsn+1/2=7·3π4s52=21π4s52

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A: