 11.9.1: In Exercises 15, use Figure 11.89.
 11.9.2: In Exercises 15, use Figure 11.89.
 11.9.3: In Exercises 15, use Figure 11.89.
 11.9.4: In Exercises 15, use Figure 11.89.
 11.9.5: In Exercises 15, use Figure 11.89.
 11.9.6: In Exercises 610, use Figure 11.90.
 11.9.7: In Exercises 610, use Figure 11.90.
 11.9.8: In Exercises 610, use Figure 11.90.
 11.9.9: In Exercises 610, use Figure 11.90.
 11.9.10: In Exercises 610, use Figure 11.90.
 11.9.11: Figure 11.91 shows a phase plane for a system of differential equat...
 11.9.12: (a) Find the equilibrium points for the following system of equatio...
 11.9.13: For 1318, analyze the phase plane of the differential equations for...
 11.9.14: For 1318, analyze the phase plane of the differential equations for...
 11.9.15: For 1318, analyze the phase plane of the differential equations for...
 11.9.16: For 1318, analyze the phase plane of the differential equations for...
 11.9.17: For 1318, analyze the phase plane of the differential equations for...
 11.9.18: For 1318, analyze the phase plane of the differential equations for...
 11.9.19: The equations describing the flu epidemic in a boarding school are ...
 11.9.20: Use the idea of nullclines dividing the plane into sectors to analy...
 11.9.21: Two companies share the market for a new technology. They have no c...
 11.9.22: In the 1930s L. F. Richardson proposed that an arms race between tw...
 11.9.23: In the 1930s, the Soviet ecologist G. F. Gause performed a series o...
 11.9.24: A solution trajectory and nullclines for a system of differential e...
 11.9.25: A solution trajectory and nullclines for a system of differential e...
 11.9.26: A graph of the nullclines of a system of differential equations wit...
 11.9.27: The nullclines of a system of differential equations with the traje...
 11.9.28: A trajectory for a system of differential equations with nullclines...
Solutions for Chapter 11.9: ANALYZING THE PHASE PLANE
Full solutions for Calculus: Single Variable  6th Edition
ISBN: 9780470888643
Solutions for Chapter 11.9: ANALYZING THE PHASE PLANE
Get Full SolutionsCalculus: Single Variable was written by and is associated to the ISBN: 9780470888643. Since 28 problems in chapter 11.9: ANALYZING THE PHASE PLANE have been answered, more than 32489 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Single Variable , edition: 6. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 11.9: ANALYZING THE PHASE PLANE includes 28 full stepbystep solutions.

Cardioid
A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

Common logarithm
A logarithm with base 10.

Data
Facts collected for statistical purposes (singular form is datum)

Domain of validity of an identity
The set of values of the variable for which both sides of the identity are defined

Elementary row operations
The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

Equation
A statement of equality between two expressions.

Fibonacci sequence
The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

Inductive step
See Mathematical induction.

Lemniscate
A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

Line graph
A graph of data in which consecutive data points are connected by line segments

Random numbers
Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

Reciprocal function
The function ƒ(x) = 1x

Right angle
A 90° angle.

Rigid transformation
A transformation that leaves the basic shape of a graph unchanged.

Statistic
A number that measures a quantitative variable for a sample from a population.

Statute mile
5280 feet.

Symmetric about the yaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is

Tangent
The function y = tan x

Vertex of a cone
See Right circular cone.

Vertical asymptote
The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a ƒ1x2 = q.