Question 2. Express the function f(t) = 0 6-t2 0 in terms of unit step functions and hence determine F(s), the Laplace transform of f(t), in the form F(s) t < 0 0≤t<6 t≥ 6 A B C = + + -e S D -e-ws + 82 E S 83 83 Enter the values of A, B, C, D, E and w in the boxes below. Enter A: Enter B: Enter C: Enter D: Enter E: Enter w: :-ws + ∙e ws

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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Question 2.
Express the function
-{
f(t) =
F(s)
=
in terms of unit step functions and hence determine F(s),
the Laplace transform of f(t), in the form
6
t²
Enter A:
Enter B:
Enter C:
t < 0
0<t<6
t> 6
A B C
+ +
S
Enter D:
Enter E:
Enter w:
-WS
DOUNUO
+
D
s²
e
WS
Enter the values of A, B, C, D, E and w in the boxes below.
E
+ e
S
·WS
Transcribed Image Text:Question 2. Express the function -{ f(t) = F(s) = in terms of unit step functions and hence determine F(s), the Laplace transform of f(t), in the form 6 t² Enter A: Enter B: Enter C: t < 0 0<t<6 t> 6 A B C + + S Enter D: Enter E: Enter w: -WS DOUNUO + D s² e WS Enter the values of A, B, C, D, E and w in the boxes below. E + e S ·WS
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