Find the Laplace transform of f(t) ={0, 0 ≤t ≤1         7t −7, t ≥1 .}

Q: f(t) = SO if 0 c where c> 0.

A: We have to solve given problem:

Q: Use the Laplace transform to solve the difference equation 3x(t) — 4x(t − 1) = 1, x(t)=0 for t < 0.

A: Given: The difference equation, 3xt-4xt-1=1, xt=0 for t&lt;0   To solve: The given difference…

Q: A+b+c=180 (For c)

A: Given, A+b+c = 180 To be solved for c

Q: Derive the Fourier transform for f(t) = te2t for t>0 and 0 for t<0.

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as ∫-∞∞e-iktf(t)dt,…

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: 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: Find the Fourier Transforms of the indicated function: f (x) = xe-|x|

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Q: Find the Laplace Transform F(t)=te^t*t^2

A: