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# Solutions for Chapter 9.5: Linear Equations ## Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909 Solutions for Chapter 9.5: Linear Equations

Solutions for Chapter 9.5
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##### ISBN: 9780538497909

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. Chapter 9.5: Linear Equations includes 38 full step-by-step solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. Since 38 problems in chapter 9.5: Linear Equations have been answered, more than 31015 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a vector

See Magnitude of a vector.

• Arccosecant function

See Inverse cosecant function.

• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• Blind experiment

An experiment in which subjects do not know if they have been given an active treatment or a placebo

• Coordinate(s) of a point

The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space

• Dihedral angle

An angle formed by two intersecting planes,

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• Horizontal component

See Component form of a vector.

• Identity matrix

A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

• Intercept

Point where a curve crosses the x-, y-, or z-axis in a graph.

• Inverse composition rule

The composition of a one-toone function with its inverse results in the identity function.

• Logistic growth function

A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth

• Multiplicative inverse of a real number

The reciprocal of b, or 1/b, b Z 0

• Odd function

A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).

• Polar axis

See Polar coordinate system.

• Principle of mathematical induction

A principle related to mathematical induction.

The graph in three dimensions of a seconddegree equation in three variables.

• 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.

• Vertices of an ellipse

The points where the ellipse intersects its focal axis.

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