Determine the Laplace Transform of the functionf(t)f(t+4)={4,−4,0≤t<11≤t<4=f(t)𝑓(𝑡)={4,0≤𝑡<1−4,1≤𝑡<4𝑓(𝑡+4)=𝑓(𝑡)

Question

Determine the Laplace Transform of the functionf(t)f(t+4)={4,−4,0≤t<11≤t<4=f(t)𝑓(𝑡)={4,0≤𝑡<1−4,1≤𝑡<4𝑓(𝑡+4)=𝑓(𝑡)
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Solution 1

The Laplace Transform of a piecewise function can be determined by breaking the function into its separate parts and finding the Laplace Transform of each part.

Given the function f(t) as:

f(t) = {4, 0 ≤ t < 1 -4, 1 ≤ t < 4

We can write this as:

f(t) = 4 for 0 ≤ t < 1 f(t) = -4 for 1 ≤ t Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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