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# Solutions for Chapter 7: DIFFERENTIAL EQUATIONS

## Full solutions for Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) | 4th Edition

ISBN: 9780495559726

Solutions for Chapter 7: DIFFERENTIAL EQUATIONS

Solutions for Chapter 7
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##### ISBN: 9780495559726

Chapter 7: DIFFERENTIAL EQUATIONS includes 24 full step-by-step solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series), edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) was written by and is associated to the ISBN: 9780495559726. Since 24 problems in chapter 7: DIFFERENTIAL EQUATIONS have been answered, more than 19997 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Additive inverse of a real number

The opposite of b , or -b

• Amplitude

See Sinusoid.

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• Equal matrices

Matrices that have the same order and equal corresponding elements.

• Exponent

See nth power of a.

• Factor

In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

• Finite sequence

A function whose domain is the first n positive integers for some fixed integer n.

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Infinite discontinuity at x = a

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

• 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

• Linear regression equation

Equation of a linear regression line

• Nonsingular matrix

A square matrix with nonzero determinant

• Odd function

A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

• Root of a number

See Principal nth root.

• Semimajor axis

The distance from the center to a vertex of an ellipse.

• Standard form of a complex number

a + bi, where a and b are real numbers

• Transverse axis

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

• Ymax

The y-value of the top of the viewing window.

• Ymin

The y-value of the bottom of the viewing window.

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