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# Solutions for Chapter 13.1: DISPLACEMENT VECTORS ## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612 Solutions for Chapter 13.1: DISPLACEMENT VECTORS

Solutions for Chapter 13.1
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##### ISBN: 9780470888612

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Since 60 problems in chapter 13.1: DISPLACEMENT VECTORS have been answered, more than 43247 students have viewed full step-by-step solutions from this chapter. Chapter 13.1: DISPLACEMENT VECTORS includes 60 full step-by-step solutions. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612.

Key Calculus Terms and definitions covered in this textbook
• Arrow

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

• Common ratio

See Geometric sequence.

• Complex number

An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

• Distance (in a coordinate plane)

The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

• Distributive property

a(b + c) = ab + ac and related properties

• Horizontal Line Test

A test for determining whether the inverse of a relation is a function.

• Identity properties

a + 0 = a, a ? 1 = a

• Irrational numbers

Real numbers that are not rational, p. 2.

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• Nappe

See Right circular cone.

• Placebo

In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.

• Product rule of logarithms

ogb 1RS2 = logb R + logb S, R > 0, S > 0,

• Pseudo-random numbers

Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

• Solution set of an inequality

The set of all solutions of an inequality

• Subtraction

a - b = a + (-b)

• Sum of an infinite geometric series

Sn = a 1 - r , |r| 6 1

• Synthetic division

A procedure used to divide a polynomial by a linear factor, x - a

• Transverse axis

The line segment whose endpoints are the vertices of a hyperbola.

• Vertical component

See Component form of a vector.

• y-intercept

A point that lies on both the graph and the y-axis.

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