Determine the inverse Laplace transform of the function below. 2s-52 5s² - 10s +130 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Use completing the square to rewrite the numerator and the denominator to match the forms of Laplace transforms given in the table. Choose the correct answer below. OA OB. O C. D. 2-1 2s-52 5s²-10s +130 5s 2s-52 10s +130 2s-52 5s²-10s +130 2s-52 5s-10s +130 2s-52 5s-10s +130 2 5 5 2 5 2 5 s-1 (S-1)² +5² s-1 (s+ 1)² +5² s-1 (s+ 1)² +5² s-1 (S-1)² +5² +2. +2. -2. 5 (S-1)² +5² 5 (s+ 1)² +5² 5 (s+ 1)² +5² 5 (S-1)² +5² -2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 73E
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Determine the inverse Laplace transform of the function below.
2s-52
2
5s - 10s +130
Click here to view the table of Laplace transforms.
Click here to view the table of properties of Laplace transforms.
Use completing the square to rewrite the numerator and the denominator to match the forms of Laplace transforms given in the table. Choose the correct answer below.
O.A.
OB.
O C.
R
D.
2s-52
2
5s - 10s +130
2s-52
5s²2²-10s +130
2s-52
5s²-10s +130
2
=
2s-52
2
5s² - 10s +130
2s-52
2
5s - 10s +130
esc
2
2
= -.
5
5
=
2
s-1
5 (s+ 1)² +5²
=
s-1
(S-1)² +5²
2
5
S-1
(s+ 1)² +5²
s-1
(S-1)² +5²
+2.
FI
+2.
-2.
5
(S-1)² +5²
-2.
5
(s+ 1)² +5²
5
(s+ 1)² +5²
Video Textbook Ask my instructor
5
(S-1)² +5²
F2
ㅁㅁ
F3
000
000 F4
F5
F6
◄◄
F7
► 11
FB
F9
F10
C
Transcribed Image Text:Determine the inverse Laplace transform of the function below. 2s-52 2 5s - 10s +130 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Use completing the square to rewrite the numerator and the denominator to match the forms of Laplace transforms given in the table. Choose the correct answer below. O.A. OB. O C. R D. 2s-52 2 5s - 10s +130 2s-52 5s²2²-10s +130 2s-52 5s²-10s +130 2 = 2s-52 2 5s² - 10s +130 2s-52 2 5s - 10s +130 esc 2 2 = -. 5 5 = 2 s-1 5 (s+ 1)² +5² = s-1 (S-1)² +5² 2 5 S-1 (s+ 1)² +5² s-1 (S-1)² +5² +2. FI +2. -2. 5 (S-1)² +5² -2. 5 (s+ 1)² +5² 5 (s+ 1)² +5² Video Textbook Ask my instructor 5 (S-1)² +5² F2 ㅁㅁ F3 000 000 F4 F5 F6 ◄◄ F7 ► 11 FB F9 F10 C
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