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# Solutions for Chapter 6.3: DIFFERENTIAL EQUATIONS AND MOTION ## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612 Solutions for Chapter 6.3: DIFFERENTIAL EQUATIONS AND MOTION

Solutions for Chapter 6.3
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##### ISBN: 9780470888612

Chapter 6.3: DIFFERENTIAL EQUATIONS AND MOTION includes 54 full step-by-step solutions. Since 54 problems in chapter 6.3: DIFFERENTIAL EQUATIONS AND MOTION have been answered, more than 26195 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612.

Key Calculus Terms and definitions covered in this textbook
• Absolute maximum

A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

• Control

The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

• Deductive reasoning

The process of utilizing general information to prove a specific hypothesis

• Degree of a polynomial (function)

The largest exponent on the variable in any of the terms of the polynomial (function)

• Equal matrices

Matrices that have the same order and equal corresponding elements.

• Half-plane

The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

• Horizontal asymptote

The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

• Hyperboloid of revolution

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

• Instantaneous velocity

The instantaneous rate of change of a position function with respect to time, p. 737.

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• Matrix, m x n

A rectangular array of m rows and n columns of real numbers

• Measure of center

A measure of the typical, middle, or average value for a data set

• Observational study

A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

• Odd-even identity

For a basic trigonometric function f, an identity relating f(x) to f(-x).

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Real axis

See Complex plane.

• Reflexive property of equality

a = a

• Sample standard deviation

The standard deviation computed using only a sample of the entire population.

• Standard representation of a vector

A representative arrow with its initial point at the origin

• Weights

See Weighted mean.

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