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# Solutions for Chapter 5.7: Fundamentals of Differential Equations 8th Edition ## Full solutions for Fundamentals of Differential Equations | 8th Edition

ISBN: 9780321747730 Solutions for Chapter 5.7

Solutions for Chapter 5.7
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##### ISBN: 9780321747730

Since 13 problems in chapter 5.7 have been answered, more than 121318 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.7 includes 13 full step-by-step solutions. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8.

Key Calculus Terms and definitions covered in this textbook
• Arcsine function

See Inverse sine function.

• Binomial

A polynomial with exactly two terms

• First-degree equation in x , y, and z

An equation that can be written in the form.

• Identity properties

a + 0 = a, a ? 1 = a

• Inequality symbol or

<,>,<,>.

• Law of sines

sin A a = sin B b = sin C c

• Lower bound of f

Any number b for which b < ƒ(x) for all x in the domain of ƒ

• Midpoint (on a number line)

For the line segment with endpoints a and b, a + b2

• Odd function

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

• Opposite

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

• Power regression

A procedure for fitting a curve y = a . x b to a set of data.

• 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

• Pythagorean

Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

• Reduced row echelon form

A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

• Richter scale

A logarithmic scale used in measuring the intensity of an earthquake.

• Symmetric about the origin

A graph in which (-x, -y) is on the the graph whenever (x, y) is; or a graph in which (-r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

• Upper bound test for real zeros

A test for finding an upper bound for the real zeros of a polynomial.

• z-coordinate

The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

• Zero of a function

A value in the domain of a function that makes the function value zero.

• Zoom out

A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).