Question

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find the Laplace transform of....
$t { \sin(4t) }^{2}$
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Answer 1

Answer:

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In mathematics, the Laplace transform is an integral transform named after its inventor Pierre-Simon Laplace . It transforms a function of a real variable (often time) to a function of a complex variable (complex frequency). The transform has many applications in science and engineering.

The Laplace transform is similar to the Fourier transform. While the Fourier transform of a function is a complex function of a real variable (frequency), the Laplace transform of a function is a complex function of a complex variable. Laplace transforms are usually restricted to functions of with . A consequence of this restriction is that the Laplace transform of a function is a holomorphic function of the variable . Unlike the Fourier transform, the Laplace transform of a distribution is generally a well-behaved function. Techniques of complex variables can also be used to directly study Laplace transforms. As a holomorphic function, the Laplace transform has a power series representation. This power series expresses a function as a linear superposition of moments of the function. This perspective has applications in probability theory.

Answer 2

Step-by-step explanation:

the Laplace transform is a similar to fourtier transform while the photo transfer function is complex function of ribel variable the place transform of a function is complex function of complex variable