+1. (6 pts) Let Pr=-1.25P-1 + 18 be a linear DDS. a) Calculate the equilibrium value for this DDS. Round to 2 decimal places as needed. +1 Pe= 23.62 -1.251 +18= b) Suppose the initial value is Po = 62. Find the explicit solution. bloode +1 Pn = 1.25 (62) +18= - 59 ½ c) Determine the stability of the equilibrium. Give a reason for your answer. nodw siquo- _) = (x) (U) is an eigenvector, then we can use +14 4. (4 pts) The solution of a system of linear equations in the variables x, y, and z using the Gauss-Jordan method is represented by the following augmented matrix: + 1 0-5-11 0 1 16 12 0 0 00 (a) Write the general solution for this system in terms of the variable z. (Hint: Your answer should give x, and y in terms of z ). (x, y, z) = (- 1 8 6) (b) Write the specific solution for this system as a 3-tuple when z = 2. (x, y, z) = (_ 2 24 16 nut solutions

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
Question
ignore the writing, solve the problem please
+1. (6 pts)
Let Pr=-1.25P-1 + 18 be a linear DDS.
a) Calculate the equilibrium value for this DDS. Round to 2 decimal places as needed.
+1
Pe=
23.62
-1.251 +18=
b) Suppose the initial value is Po
= 62. Find the explicit solution.
bloode
+1
Pn =
1.25 (62) +18= - 59 ½
c) Determine the stability of the equilibrium. Give a reason for your answer.
nodw siquo-
_) = (x)
Transcribed Image Text:+1. (6 pts) Let Pr=-1.25P-1 + 18 be a linear DDS. a) Calculate the equilibrium value for this DDS. Round to 2 decimal places as needed. +1 Pe= 23.62 -1.251 +18= b) Suppose the initial value is Po = 62. Find the explicit solution. bloode +1 Pn = 1.25 (62) +18= - 59 ½ c) Determine the stability of the equilibrium. Give a reason for your answer. nodw siquo- _) = (x)
(U) is an eigenvector, then we can use
+14
4. (4 pts)
The solution of a system of linear equations in the variables x, y, and z using
the Gauss-Jordan method is represented by the following augmented matrix:
+
1
0-5-11
0
1 16 12
0
0
00
(a) Write the general solution for this system in terms of the variable z. (Hint: Your
answer should give x, and y in terms of z ).
(x, y, z) = (-
1
8
6)
(b) Write the specific solution for this system as a 3-tuple when z = 2.
(x, y, z) = (_
2
24
16
nut solutions
Transcribed Image Text:(U) is an eigenvector, then we can use +14 4. (4 pts) The solution of a system of linear equations in the variables x, y, and z using the Gauss-Jordan method is represented by the following augmented matrix: + 1 0-5-11 0 1 16 12 0 0 00 (a) Write the general solution for this system in terms of the variable z. (Hint: Your answer should give x, and y in terms of z ). (x, y, z) = (- 1 8 6) (b) Write the specific solution for this system as a 3-tuple when z = 2. (x, y, z) = (_ 2 24 16 nut solutions
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