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# Solutions for Chapter 6.4: First-Order Linear Differential Equations ## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981 Solutions for Chapter 6.4: First-Order Linear Differential Equations

Solutions for Chapter 6.4
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##### ISBN: 9780618502981

Since 70 problems in chapter 6.4: First-Order Linear Differential Equations have been answered, more than 84268 students have viewed full step-by-step solutions from this chapter. Chapter 6.4: First-Order Linear Differential Equations includes 70 full step-by-step solutions. Calculus was written by and is associated to the ISBN: 9780618502981. This textbook survival guide was created for the textbook: Calculus, edition: 8. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Cardioid

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Combination

An arrangement of elements of a set, in which order is not important

• Commutative properties

a + b = b + a ab = ba

• Deductive reasoning

The process of utilizing general information to prove a specific hypothesis

• Difference identity

An identity involving a trigonometric function of u - v

• 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.

• Higher-degree polynomial function

A polynomial function whose degree is ? 3

• Identity properties

a + 0 = a, a ? 1 = a

• Interval notation

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

• Inverse composition rule

The composition of a one-toone function with its inverse results in the identity function.

• Inverse cosecant function

The function y = csc-1 x

• Nappe

See Right circular cone.

• nth root

See Principal nth root

• Paraboloid of revolution

A surface generated by rotating a parabola about its line of symmetry.

• 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

• Quotient rule of logarithms

logb a R S b = logb R - logb S, R > 0, S > 0

• 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.

• Standard deviation

A measure of how a data set is spread

• Ymin

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

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