1 -1 -2 -2 -1 0 1 2 3 2 3 4 4 -2 -1 4. FIGURE 6.1.12. Spiral point (-2, 1) and saddle point (2,-1). FIGURE 6.1.13. Spiral point (1,-1). FIGURE 6.1.14. Saddle point (0,0). 4 3 3 1ト い 1 1 -1 -1 -2 -3 -2 1. -3 -2 -1 01 2 3 4 -3 -3 -2 -1 2 3 4. 1 2 3 -2 FIGURE 6.1.15. Spiral point (0, 0); saddle points (-2,-1) and (2, 1). FIGURE 6.1.16. Node (1,1). FIGURE 6.1.17. Spiral point (-1,-1), saddle point (0, 0), and node (1,-1). 4. 3 4 2 ら 0 っ0 -2 -1 -4 -2 -3 -6 -6 -4 -2 4 -3 -2 -1 0 1 2 3 4 FIGURE 6.1.18. Spiral point (-2, 5) and saddle point (2,-3). FIGURE 6.1.19. Stable center (-1, 1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 30RE
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-2 -1 0 1 2 3
2 3
-4 -3
4
-2 -1
4
4.
FIGURE 6.1.12. Spiral point (-2, 1)
and saddle point (2, –1).
FIGURE 6.1.13. Spiral point
(1,-1).
FIGURE 6.1.14. Saddle point (0,0).
4
3
3
1ト い
1
-1
-1
-2
-3
-2
-3 -2 -1 01 2 3 4
-3 -2 -1
2 3
4.
-3
1 2 3
-2
FIGURE 6.1.15. Spiral point (0, 0);
saddle points (-2,-1) and (2, 1).
FIGURE 6.1.16. Node (1,1).
FIGURE 6.1.17. Spiral point
(-1,–1), saddle point (0, 0), and
node (1,-1).
4.
3
4
2
ら 0
っ0
-2
-1
-4
-2
-3
-6
-6
-4 -2
4 -3 -2 -1 0 1 2 34
FIGURE 6.1.18. Spiral point (-2, )
and saddle point (2,–5).
FIGURE 6.1.19. Stable center
(-1, 1).
Transcribed Image Text:-2 -1 0 1 2 3 2 3 -4 -3 4 -2 -1 4 4. FIGURE 6.1.12. Spiral point (-2, 1) and saddle point (2, –1). FIGURE 6.1.13. Spiral point (1,-1). FIGURE 6.1.14. Saddle point (0,0). 4 3 3 1ト い 1 -1 -1 -2 -3 -2 -3 -2 -1 01 2 3 4 -3 -2 -1 2 3 4. -3 1 2 3 -2 FIGURE 6.1.15. Spiral point (0, 0); saddle points (-2,-1) and (2, 1). FIGURE 6.1.16. Node (1,1). FIGURE 6.1.17. Spiral point (-1,–1), saddle point (0, 0), and node (1,-1). 4. 3 4 2 ら 0 っ0 -2 -1 -4 -2 -3 -6 -6 -4 -2 4 -3 -2 -1 0 1 2 34 FIGURE 6.1.18. Spiral point (-2, ) and saddle point (2,–5). FIGURE 6.1.19. Stable center (-1, 1).
5. Find the critical point or points for each of the following autonomous system. Then match
each pair with its phase portrait on the next page.
dx
= 2x - 2y-4 and
x+4y +3
dt
Critical point(s):
Matching graphic: FIGURE 6.1.
Transcribed Image Text:5. Find the critical point or points for each of the following autonomous system. Then match each pair with its phase portrait on the next page. dx = 2x - 2y-4 and x+4y +3 dt Critical point(s): Matching graphic: FIGURE 6.1.
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