You are beginning to draw a phase portrait for a system of two equations. You know th x(0) = 1 and that y(0) = 1. You also know that x' = 0.5 and that y' = -1 at that point. Which of the following graphs correctly depicts the start of this phase portrait? 2.0 1.5

You are beginning to draw a phase portrait for a system of two equations. You know th x(0) = 1 and that y(0) = 1. You also know that x' = 0.5 and that y' = -1 at that point. Which of the following graphs correctly depicts the start of this phase portrait? 2.0 1.5

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 7RE: Does the equation y=2.294e0.654t representcontinuous growth, continuous decay, or neither?Explain.

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You are beginning to draw a phase portrait for a system of two equations. You know that
x(0) = 1 and that y(0) = 1. You also know that x' = 0.5 and that y' = −1 at that
point. Which of the following graphs correctly depicts the start of this phase portrait?
2.0
1.5
a) 1.0
0.5
0.0
2.0
y
1.5
○ b) 1.0
О
0.5
x
0.5
1.0
1.5
2.0
x
0.0
0.5
1.0
1.5
2.0
2.0
1.5
y
C) 1.0
0.5
x
0.0
0.5
1.0
1.5
2.0
2.0
1.5
○ d) 1.0
0.5
x
0.0
0.5
1.0
1.5
2.0

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Step 1: Sketching the initial condition

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Step 2: Finding the graph that correctly depicts the initial sketch of phase portrait

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