If I have a piecewise function that I want to write an f(t) for then take the laplace transform; f(t) = 0 t < 1 e^t-1 1 < t < 2 0 t > 2 How can I sketch this? And how do I find the Laplace transform ? And what does it mean when e is raised to t-1, is this a shift?

If I have a piecewise function that I want to write an f(t) for then take the laplace transform; f(t) = 0 t < 1 e^t-1 1 < t < 2 0 t > 2 How can I sketch this? And how do I find the Laplace transform ? And what does it mean when e is raised to t-1, is this a shift?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 77E

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Question

If I have a piecewise function that I want to write an f(t) for then take the laplace transform;

f(t) = 0 t < 1

e^t-1 1 < t < 2

0 t > 2

How can I sketch this? And how do I find the Laplace transform ? And what does it mean when e is raised to t-1, is this a shift?

Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.

Expert Solution