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# Solutions for Chapter 3.10: Thomas' Calculus: Early Transcendentals 13th Edition

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

ISBN: 9780321884077

Solutions for Chapter 3.10

Solutions for Chapter 3.10
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##### ISBN: 9780321884077

Since 46 problems in chapter 3.10 have been answered, more than 87537 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. Chapter 3.10 includes 46 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Characteristic polynomial of a square matrix A

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

• Hyperbola

A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

• Identity matrix

A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

• Imaginary axis

See Complex plane.

• Infinite discontinuity at x = a

limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

• Instantaneous velocity

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

• Interval notation

Notation used to specify intervals, pp. 4, 5.

• Linear factorization theorem

A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

• Logarithmic function with base b

The inverse of the exponential function y = bx, denoted by y = logb x

A measure that tells how widely distributed data are.

• One-to-one rule of logarithms

x = y if and only if logb x = logb y.

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• Positive linear correlation

See Linear correlation.

• Regression model

An equation found by regression and which can be used to predict unknown values.

• Secant line of ƒ

A line joining two points of the graph of ƒ.

• Sine

The function y = sin x.

• Square matrix

A matrix whose number of rows equals the number of columns.

• Symmetric matrix

A matrix A = [aij] with the property aij = aji for all i and j

• Variable

A letter that represents an unspecified number.

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

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