Laplace Transform for shifted Unit Step Function

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The Laplace transform of a shifted unit step function Us(t-2) can be derived using the shift theorem. The standard Laplace transform of a unit step function is 1/s, but for the shifted function, it becomes e^(-2s)/s. This result reflects the delay introduced by the shift in the unit step function. Users are encouraged to apply the definition of the Laplace transform or refer to the shift rule for further clarification. Understanding these transformations is essential for solving differential equations involving piecewise functions.
bmed90
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Hello,

I have a relatively simple question. after being unable to find it through google I have decided to ask you guys if you know what the Laplace transform of a unit step function that looks like this would look like

Us(t-2)

From tables, the Laplace transform for a regular units step is 1/s however I am not sure what the Laplace for this particular case would be.
 
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Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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