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# Solutions for Chapter 6.4: 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 6.4

Solutions for Chapter 6.4
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##### ISBN: 9781111827052

Since 54 problems in chapter 6.4 have been answered, more than 44395 students have viewed full step-by-step solutions from this chapter. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052. This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 6.4 includes 54 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Average rate of change of ƒ over [a, b]

The number ƒ(b) - ƒ(a) b - a, provided a ? b.

• Cardioid

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

• Compound interest

Interest that becomes part of the investment

• Compounded monthly

See Compounded k times per year.

• Decreasing on an interval

A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

• Derivative of ƒ

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

• Equally likely outcomes

Outcomes of an experiment that have the same probability of occurring.

• Exponential function

A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

• Factored form

The left side of u(v + w) = uv + uw.

• Fibonacci numbers

The terms of the Fibonacci sequence.

• Graphical model

A visible representation of a numerical or algebraic model.

• Hyperboloid of revolution

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

• Logarithmic re-expression of data

Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

• Monomial function

A polynomial with exactly one term.

• Multiplicity

The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

• Normal distribution

A distribution of data shaped like the normal curve.

• Phase shift

See Sinusoid.

• Regression model

An equation found by regression and which can be used to predict unknown values.

• Solve by substitution

Method for solving systems of linear equations.

• Vertices of a hyperbola

The points where a hyperbola intersects the line containing its foci.

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