# Solutions for Chapter 4: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 4

Solutions for Chapter 4
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##### ISBN: 9780321884077

Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4 includes 196 full step-by-step solutions. Since 196 problems in chapter 4 have been answered, more than 43690 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th.

Key Calculus Terms and definitions covered in this textbook
• Arctangent function

See Inverse tangent function.

• Cube root

nth root, where n = 3 (see Principal nth root),

• Directed distance

See Polar coordinates.

• Elimination method

A method of solving a system of linear equations

• Equilibrium point

A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

• Focal length of a parabola

The directed distance from the vertex to the focus.

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• Inverse cosine function

The function y = cos-1 x

• Irrational zeros

Zeros of a function that are irrational numbers.

• Linear equation in x

An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

• Logarithmic regression

See Natural logarithmic regression

• n-set

A set of n objects.

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

• Phase shift

See Sinusoid.

• Positive association

A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

• Randomization

The principle of experimental design that makes it possible to use the laws of probability when making inferences.

• Upper bound for ƒ

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

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