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# Solutions for Chapter 10.2: Calculus: Early Transcendentals 1st Edition ## Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567 Solutions for Chapter 10.2

Solutions for Chapter 10.2
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##### ISBN: 9780321570567

This expansive textbook survival guide covers the following chapters and their solutions. Since 106 problems in chapter 10.2 have been answered, more than 151780 students have viewed full step-by-step solutions from this chapter. Chapter 10.2 includes 106 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.

Key Calculus Terms and definitions covered in this textbook
• Aphelion

The farthest point from the Sun in a planet’s orbit

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Common difference

See Arithmetic sequence.

• Conversion factor

A ratio equal to 1, used for unit conversion

• Cotangent

The function y = cot x

• Course

See Bearing.

• Deductive reasoning

The process of utilizing general information to prove a specific hypothesis

• Direction vector for a line

A vector in the direction of a line in three-dimensional space

• Identity

An equation that is always true throughout its domain.

• Length of a vector

See Magnitude of a vector.

• 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

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• Partial fraction decomposition

See Partial fractions.

• 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.

• Pole

See Polar coordinate system.

• Quantitative variable

A variable (in statistics) that takes on numerical values for a characteristic being measured.

• Random numbers

Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

• RRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the right-hand end point of each subinterval.

• Solve a triangle

To find one or more unknown sides or angles of a triangle

• Sum of an infinite series

See Convergence of a series

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