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# Solutions for Chapter 5.2: Fundamentals of Differential Equations 8th Edition

## Full solutions for Fundamentals of Differential Equations | 8th Edition

ISBN: 9780321747730

Solutions for Chapter 5.2

Solutions for Chapter 5.2
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##### ISBN: 9780321747730

Chapter 5.2 includes 34 full step-by-step solutions. Since 34 problems in chapter 5.2 have been answered, more than 56909 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: Fundamentals of Differential Equations , edition: 8. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730.

Key Calculus Terms and definitions covered in this textbook
• Acceleration due to gravity

g ? 32 ft/sec2 ? 9.8 m/sec

• Acute triangle

A triangle in which all angles measure less than 90°

• artesian coordinate system

An association between the points in a plane and ordered pairs of real numbers; or an association between the points in three-dimensional space and ordered triples of real numbers

• Central angle

An angle whose vertex is the center of a circle

• Degree of a polynomial (function)

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

• Division

a b = aa 1 b b, b Z 0

• Equal matrices

Matrices that have the same order and equal corresponding elements.

• Graph of a function ƒ

The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

• Horizontal line

y = b.

• Identity matrix

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

• Inverse cosecant function

The function y = csc-1 x

• Parametrization

A set of parametric equations for a curve.

• Periodic function

A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

• Perpendicular lines

Two lines that are at right angles to each other

• Principal nth root

If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

• Right circular cone

The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

• Semimajor axis

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

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

• Slant asymptote

An end behavior asymptote that is a slant line

• Sum of a finite arithmetic series

Sn = na a1 + a2 2 b = n 2 32a1 + 1n - 12d4,

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