Inverse Laplace transforms can be found using the linearity property of transforms and a reference table. Find the Inverse Laplace transform of F(s) = -4s - 2 s² 2s + 26 Show all the work needed to rewrite the functions. Express the inverse Laplace transform as a function of t. [Hint: you may need to first complete the square in the denominator!] f(t) =
Inverse Laplace transforms can be found using the linearity property of transforms and a reference table. Find the Inverse Laplace transform of F(s) = -4s - 2 s² 2s + 26 Show all the work needed to rewrite the functions. Express the inverse Laplace transform as a function of t. [Hint: you may need to first complete the square in the denominator!] f(t) =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
please give clear solution with all the necessary work!
![Inverse Laplace transforms can be found using the linearity property of transforms and a reference table. Find the Inverse Laplace transform of
\[ F(s) = \frac{-4s - 2}{s^2 - 2s + 26}. \]
Show all the work needed to rewrite the functions. Express the inverse Laplace transform as a function of \( t \). [Hint: you may need to first complete the square in the denominator!]
\[ f(t) = \underline{\hspace{3cm}} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb48e445-6f22-4655-aae5-a52568300bfa%2Fc6666332-abd6-43b9-85e7-b839ab51b086%2Fjl0fedm_processed.png&w=3840&q=75)
Transcribed Image Text:Inverse Laplace transforms can be found using the linearity property of transforms and a reference table. Find the Inverse Laplace transform of
\[ F(s) = \frac{-4s - 2}{s^2 - 2s + 26}. \]
Show all the work needed to rewrite the functions. Express the inverse Laplace transform as a function of \( t \). [Hint: you may need to first complete the square in the denominator!]
\[ f(t) = \underline{\hspace{3cm}} \]
Expert Solution

Step 1: Define the linearity property of Inverse Laplace Transform:
The linearity property of Inverse Laplace Transform:
Where and
is the constant.
And the Inverse Laplace transform identities:
1).
2).
Step by step
Solved in 3 steps with 9 images

Follow-up Questions
Read through expert solutions to related follow-up questions below.
Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning