Question 1 (a) For the function f(t) = (3t³ – 2)e", find the Laplace Transforms L {f(t)} and L {f'(t)}. - (b). Find the inverse Laplace transform {; -4s }. L-1 e 3s e s(s – 3) + s4

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Provide me complete solution of both parts of question please thanks 1
Question 1
(а)
For the function
f(t) = (3t³ – 2)e", find the Laplace
Transforms L {f(t)} and L {f'(t)}.
-
(b).
Find the inverse Laplace
transform
{;
-4s
}.
L-1
e 3s
e
s(s – 3)
+
s4
|
Transcribed Image Text:Question 1 (а) For the function f(t) = (3t³ – 2)e", find the Laplace Transforms L {f(t)} and L {f'(t)}. - (b). Find the inverse Laplace transform {; -4s }. L-1 e 3s e s(s – 3) + s4 |
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