1)a)FindtheLaplacetransformofthefunctionf(t)=(3tsin 41 + Se“ +7t)u, (t);b) Find the poles and zeros of the transfer function given bys° (s+5)G(s)=(s+7)(s² +4s+6)and mark them in the s-plane;c) Find the inverse Laplace transformation of the function given by2(s+3)G(s)=s(s²+2s+5)d) Find the initial and final values of the function given in c).

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1) a) Find the Laplace transform of the function f(t)=(3tsin 4t +5e* +7t)u, (t); b) Find the poles and zeros of the transfer function given by s* (s+5) G(s)=- and mark them in the s-plane; (s+7)(s² +4s+6) c) Find the inverse Laplace transformation of the function given by 2(s+3) G(s)= s(s²+2s+5)'

1) a) Find the Laplace transform of the function f(t)=(3tsin 4t +5e* +7t)u, (t); b) Find the poles and zeros of the transfer function given by s* (s+5) G(s)=- and mark them in the s-plane; (s+7)(s² +4s+6) c) Find the inverse Laplace transformation of the function given by 2(s+3) G(s)= s(s²+2s+5)'

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...

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Question

1)
a)
Find
the
Laplace
transform
of
the
function
f(t)=(3tsin 41 + Se“ +7t)u, (t);
b) Find the poles and zeros of the transfer function given by
s° (s+5)
G(s)=
(s+7)(s² +4s+6)
and mark them in the s-plane;
c) Find the inverse Laplace transformation of the function given by
2(s+3)
G(s)=
s(s²+2s+5)
d) Find the initial and final values of the function given in c).

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