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# Solutions for Chapter 4.1: PRELIMINARY THEORYLINEAR EQUATIONS

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

ISBN: 9781111827052

Solutions for Chapter 4.1: PRELIMINARY THEORYLINEAR EQUATIONS

Solutions for Chapter 4.1
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##### ISBN: 9781111827052

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. This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. Since 42 problems in chapter 4.1: PRELIMINARY THEORYLINEAR EQUATIONS have been answered, more than 44145 students have viewed full step-by-step solutions from this chapter. Chapter 4.1: PRELIMINARY THEORYLINEAR EQUATIONS includes 42 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Axis of symmetry

See Line of symmetry.

• Dependent event

An event whose probability depends on another event already occurring

• Equally likely outcomes

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

• Exponential growth function

Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

• Finite series

Sum of a finite number of terms.

• Imaginary part of a complex number

See Complex number.

• Independent events

Events A and B such that P(A and B) = P(A)P(B)

• Inverse cotangent function

The function y = cot-1 x

• kth term of a sequence

The kth expression in the sequence

• Measure of an angle

The number of degrees or radians in an angle

• Power regression

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

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

• Scalar

A real number.

• Upper bound for ƒ

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

• Variable (in statistics)

A characteristic of individuals that is being identified or measured.

• Vertical line

x = a.

• xy-plane

The points x, y, 0 in Cartesian space.

• Ymax

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

• Zero vector

The vector <0,0> or <0,0,0>.

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