B. Find the Laplace transform of the function g(t) given in the plot (remember that the definition of the one-sided Laplace transform starts at t = 0, so ignore what happens before t = 0). Show your work. (HINT: This will be much faster if you break this up into building-block functions such as u(t), tu(t), and delayed versions of those and use the table, rather than using the definition of the Laplace transform directly.)

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.16P
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B. Find the Laplace transform of the function g(t) given in the plot (remember that the definition of the one-sided Laplace
transform starts at t = 0, so ignore what happens before t = 0). Show your work. (HINT: This will be much faster
if you break this up into building-block functions such as u(t), tu(t), and delayed versions of those and use the table,
rather than using the definition of the Laplace transform directly.)
,0 ≤t</
-t
0
2442
Et <4
-1
A (t)
2
1
1 2
3 4 5
t
Transcribed Image Text:B. Find the Laplace transform of the function g(t) given in the plot (remember that the definition of the one-sided Laplace transform starts at t = 0, so ignore what happens before t = 0). Show your work. (HINT: This will be much faster if you break this up into building-block functions such as u(t), tu(t), and delayed versions of those and use the table, rather than using the definition of the Laplace transform directly.) ,0 ≤t</ -t 0 2442 Et <4 -1 A (t) 2 1 1 2 3 4 5 t
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