The nullclines and describe how the critical points move as α increases.

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Answer 1

Question

Chapter 9.4, Problem 12P

(a)

To determine

To sketch: The nullclines and describe how the critical points move as α increases.

(b)

To determine

The critical points using the given data.

(c)

To determine

The corresponding linear system for each critical point at α=2 and phase portrait figure in a rectangle containing critical points.

(d)

To determine

The bifurcation point α0 at which the critical point coincides and eigenvalues of the corresponding linear system and a phase portrait.

(e)

To determine

To draw: A phase portrait by choosing a value α>α0

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A population of muffles (a feathery species unrelated to tribbles) begins with 30 animals and has 100 animals after 36 hours. 1. Find a formula describing the growth of the muffle population (4 points). Round any decimals to five decimal places.

Answer 2

Question

Chapter 9.4, Problem 12P

(a)

To determine

To sketch: The nullclines and describe how the critical points move as α increases.

(b)

To determine

The critical points using the given data.

(c)

To determine

The corresponding linear system for each critical point at α=2 and phase portrait figure in a rectangle containing critical points.

(d)

To determine

The bifurcation point α0 at which the critical point coincides and eigenvalues of the corresponding linear system and a phase portrait.

(e)

To determine

To draw: A phase portrait by choosing a value α>α0

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Answer 3

Question

Chapter 9.4, Problem 12P

(a)

To determine

To sketch: The nullclines and describe how the critical points move as α increases.

(b)

To determine

The critical points using the given data.

(c)

To determine

The corresponding linear system for each critical point at α=2 and phase portrait figure in a rectangle containing critical points.

(d)

To determine

The bifurcation point α0 at which the critical point coincides and eigenvalues of the corresponding linear system and a phase portrait.

(e)

To determine

To draw: A phase portrait by choosing a value α>α0

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Answer 4

Question

Chapter 9.4, Problem 12P

(a)

To determine

To sketch: The nullclines and describe how the critical points move as α increases.

(b)

To determine

The critical points using the given data.

(c)

To determine

The corresponding linear system for each critical point at α=2 and phase portrait figure in a rectangle containing critical points.

(d)

To determine

The bifurcation point α0 at which the critical point coincides and eigenvalues of the corresponding linear system and a phase portrait.

(e)

To determine

To draw: A phase portrait by choosing a value α>α0

Expert Solution & Answer

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Answer 5

Chapter 9.4, Problem 12P

(a)

To determine

To sketch: The nullclines and describe how the critical points move as α increases.

(b)

To determine

The critical points using the given data.

(c)

To determine

The corresponding linear system for each critical point at α=2 and phase portrait figure in a rectangle containing critical points.

(d)

To determine

The bifurcation point α0 at which the critical point coincides and eigenvalues of the corresponding linear system and a phase portrait.

(e)

To determine

To draw: A phase portrait by choosing a value α>α0

Answer 6

Chapter 9.4, Problem 12P

(a)

To determine

To sketch: The nullclines and describe how the critical points move as α increases.

Answer 7

Chapter 9.4, Problem 12P

(a)

To determine

To sketch: The nullclines and describe how the critical points move as α increases.

Answer 8

(b)

To determine

The critical points using the given data.

Answer 9

(b)

To determine

The critical points using the given data.

Answer 10

(c)

To determine

The corresponding linear system for each critical point at α=2 and phase portrait figure in a rectangle containing critical points.

Answer 11

(c)

To determine

The corresponding linear system for each critical point at α=2 and phase portrait figure in a rectangle containing critical points.

Answer 12

(d)

To determine

The bifurcation point α0 at which the critical point coincides and eigenvalues of the corresponding linear system and a phase portrait.

Answer 13

(d)

To determine

The bifurcation point α0 at which the critical point coincides and eigenvalues of the corresponding linear system and a phase portrait.

Answer 14

(e)

To determine

To draw: A phase portrait by choosing a value α>α0

Answer 15

(e)

To determine

To draw: A phase portrait by choosing a value α>α0

Answer 16

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Answer 17

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Answer 18

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Answer 19

Ch. 9.1 - Prob. 1P Ch. 9.1 - Prob. 2P Ch. 9.1 - Prob. 3P Ch. 9.1 - Prob. 4P Ch. 9.1 - Prob. 5P Ch. 9.1 - Prob. 6P Ch. 9.1 - Prob. 7P Ch. 9.1 - Prob. 8P Ch. 9.1 - Prob. 9P Ch. 9.1 - Prob. 10P

The nullclines and describe how the critical points move as α increases.

To sketch: The nullclines and describe how the critical points move as α increases.

The critical points using the given data.

The corresponding linear system for each critical point at α=2 and phase portrait figure in a rectangle containing critical points.

The bifurcation point α0 at which the critical point coincides and eigenvalues of the corresponding linear system and a phase portrait.

To draw: A phase portrait by choosing a value α>α0

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Chapter 9 Solutions