Consider the following functions f(t) and g(t): f(t) = 3t g(t)=sin(61). (a) Find the Laplace transform F(s) of the convolution f*g. (b) Find the convolution (f*g)(t). Hint: it is also possible to find this convolution w integral directly.

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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Problem #7: Consider the following functions f(t) and g(t):
f(t) =3t g(t)=sin(67).
(a) Find the Laplace transform F(s) of the convolution f* g.
(b) Find the convolution (f*g)(t). Hint: it is also possible to find this convolution w
integral directly.
Transcribed Image Text:Problem #7: Consider the following functions f(t) and g(t): f(t) =3t g(t)=sin(67). (a) Find the Laplace transform F(s) of the convolution f* g. (b) Find the convolution (f*g)(t). Hint: it is also possible to find this convolution w integral directly.
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