Find the inverse Laplace transform of each function: -4s a) F(s) = -5/2.

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...
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**Find the inverse Laplace transform of each function:**

a) \( F(s) = \frac{1}{s^5} + \frac{e^{-4s}}{s} - s^{-5/2} \).

b) \( F(s) = \frac{s^3 + 4s^2 + 16s + 36}{s^4 + 25s + 144} \).
Transcribed Image Text:**Find the inverse Laplace transform of each function:** a) \( F(s) = \frac{1}{s^5} + \frac{e^{-4s}}{s} - s^{-5/2} \). b) \( F(s) = \frac{s^3 + 4s^2 + 16s + 36}{s^4 + 25s + 144} \).
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