Using the table of standard transforms, find the Laplace transforms of the following functions: b) (i) 3e-5t cosh(3t) (ii) t'e5t

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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Part bi & bii
1.
a)
Derive the Laplace transform of 7e2t from first principles (i.e. without using
the list of standard transforms).
b)
Using the table of standard transforms, find the Laplace transforms of the
following functions:
(i)
3e-5t cosh(3t)
(ii)
t'e5t
c)
Sketch the following waveferm in the time domain and then calculate its
Laplace transform:
f(t) = 3 when 2 <t <4 and 5 <t < 6, zero otherwise
Transcribed Image Text:1. a) Derive the Laplace transform of 7e2t from first principles (i.e. without using the list of standard transforms). b) Using the table of standard transforms, find the Laplace transforms of the following functions: (i) 3e-5t cosh(3t) (ii) t'e5t c) Sketch the following waveferm in the time domain and then calculate its Laplace transform: f(t) = 3 when 2 <t <4 and 5 <t < 6, zero otherwise
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