Problem #1: The piecewise function 6t 0 ≤t≤4 g(t) = 24 4

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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Problem #1: The piecewise function
6t 0 ≤t≤4
g(t) =
24
4<t<9
e21 1≥9
==
can be written in the form g(t) = r(t) + p(t)U(t − 4) + q(t)U(t - 9)
(a) Find p(t).
(b) Find q(t).
(c) Find the Laplace transform of p(t)u(t - 4).
(d) Find the Laplace transform of q(t)u(t - 9).
Transcribed Image Text:Problem #1: The piecewise function 6t 0 ≤t≤4 g(t) = 24 4<t<9 e21 1≥9 == can be written in the form g(t) = r(t) + p(t)U(t − 4) + q(t)U(t - 9) (a) Find p(t). (b) Find q(t). (c) Find the Laplace transform of p(t)u(t - 4). (d) Find the Laplace transform of q(t)u(t - 9).
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