Solved: In 1–18 use Definition 7.1.1 to find {f (t)}.

Chapter 7, Problem 5E

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QUESTION:

In Problems 1–18 use Definition 7.1.1 to find \(\mathscr{L}\{f(t)\}\).

\(f(t)=\left\{\begin{array}{lr}\sin t, & 0 \leq t< \\ 0, & t \geq\end{array}\right.\)

Text Transcription:

Lf(t)

f(t)=}lrsin t, & 0 \leq t< \0,&tgeq

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Questions & Answers

QUESTION:

In Problems 1–18 use Definition 7.1.1 to find \(\mathscr{L}\{f(t)\}\).

\(f(t)=\left\{\begin{array}{lr}\sin t, & 0 \leq t< \\ 0, & t \geq\end{array}\right.\)

Text Transcription:

Lf(t)

f(t)=}lrsin t, & 0 \leq t< \0,&tgeq

ANSWER:

Step 1 of 6

In this problem we have to find the Laplace transform of the given function.

Given function is

 

Than definition of Laplace transform gives  

 

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