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# Solutions for Chapter 7.5: A First Course in Differential Equations with Modeling Applications 10th Edition

## Full solutions for A First Course in Differential Equations with Modeling Applications | 10th Edition

ISBN: 9781111827052

Solutions for Chapter 7.5

Solutions for Chapter 7.5
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##### ISBN: 9781111827052

This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. Since 15 problems in chapter 7.5 have been answered, more than 46742 students have viewed full step-by-step solutions from this chapter. Chapter 7.5 includes 15 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052.

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

See Inverse cosecant function.

• Arithmetic sequence

A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

• Equal complex numbers

Complex numbers whose real parts are equal and whose imaginary parts are equal.

• Exponential form

An equation written with exponents instead of logarithms.

• Finite sequence

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

• Higher-degree polynomial function

A polynomial function whose degree is ? 3

• Identity matrix

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

• Leibniz notation

The notation dy/dx for the derivative of ƒ.

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• Linear regression line

The line for which the sum of the squares of the residuals is the smallest possible

• Local extremum

A local maximum or a local minimum

• Magnitude of an arrow

The magnitude of PQ is the distance between P and Q

• Natural numbers

The numbers 1, 2, 3, . . . ,.

• Partial fractions

The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

• Product of functions

(ƒg)(x) = ƒ(x)g(x)

• Reflexive property of equality

a = a

• Remainder polynomial

See Division algorithm for polynomials.

• Second quartile

See Quartile.

• Solve a triangle

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

• Supply curve

p = ƒ(x), where x represents production and p represents price

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