1. Let A = 24 12 -40 20 and consider the linear system = AY. Let Y(t) be the solution 5 What is the long term behavior of this system as t goes to infinity? with Y(0) =

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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19:09 Fri Jun 17
1. Let A =
with Y (0)
production-gradescope-uploads.s3-us-west-2.amazonaws.com
24 12
and consider the linear system Y = AY. Let Y(t) be the solution
-40
20.
(6) What is the long term behavior of this system as t goes to infinity?
=
a-2
"-1²) and consider the linear system with parameter a, = AY.
as t→∞ for any solution y(t)?
a
2. Let A =
a +1
Which real values of a, if any, guarantee Y(t) →
al 4%
Transcribed Image Text:19:09 Fri Jun 17 1. Let A = with Y (0) production-gradescope-uploads.s3-us-west-2.amazonaws.com 24 12 and consider the linear system Y = AY. Let Y(t) be the solution -40 20. (6) What is the long term behavior of this system as t goes to infinity? = a-2 "-1²) and consider the linear system with parameter a, = AY. as t→∞ for any solution y(t)? a 2. Let A = a +1 Which real values of a, if any, guarantee Y(t) → al 4%
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