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Solutions for Chapter 4.1: ANALYSIS OF FUNCTIONS I: INCREASE, DECREASE, AND CONCAVITY

Full solutions for Calculus: Early Transcendentals, | 10th Edition

ISBN: 9780470647691

Solutions for Chapter 4.1: ANALYSIS OF FUNCTIONS I: INCREASE, DECREASE, AND CONCAVITY

Solutions for Chapter 4.1
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ISBN: 9780470647691

Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. Since 73 problems in chapter 4.1: ANALYSIS OF FUNCTIONS I: INCREASE, DECREASE, AND CONCAVITY have been answered, more than 42153 students have viewed full step-by-step solutions from this chapter. Chapter 4.1: ANALYSIS OF FUNCTIONS I: INCREASE, DECREASE, AND CONCAVITY includes 73 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10.

Key Calculus Terms and definitions covered in this textbook
• Amplitude

See Sinusoid.

• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Bounded interval

An interval that has finite length (does not extend to ? or -?)

• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Central angle

An angle whose vertex is the center of a circle

• Cotangent

The function y = cot x

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• Equation

A statement of equality between two expressions.

• Frequency (in statistics)

The number of individuals or observations with a certain characteristic.

• Geometric sequence

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

• Lower bound test for real zeros

A test for finding a lower bound for the real zeros of a polynomial

• Mode of a data set

The category or number that occurs most frequently in the set.

• Numerical model

A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

• 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

• Parallel lines

Two lines that are both vertical or have equal slopes.

• Perihelion

The closest point to the Sun in a planet’s orbit.

• Reflection across the x-axis

x, y and (x,-y) are reflections of each other across the x-axis.

• Right circular cone

The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

• Term of a polynomial (function)

An expression of the form anxn in a polynomial (function).

• Zero of a function

A value in the domain of a function that makes the function value zero.

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