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# Solutions for Chapter 4.2: Fundamentals of Differential Equations 8th Edition ## Full solutions for Fundamentals of Differential Equations | 8th Edition

ISBN: 9780321747730 Solutions for Chapter 4.2

Solutions for Chapter 4.2
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##### ISBN: 9780321747730

This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Since 45 problems in chapter 4.2 have been answered, more than 68579 students have viewed full step-by-step solutions from this chapter. Chapter 4.2 includes 45 full step-by-step solutions. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a vector

See Magnitude of a vector.

• Constraints

See Linear programming problem.

• Horizontal asymptote

The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

• Hyperbola

A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

• Imaginary part of a complex number

See Complex number.

• Intermediate Value Theorem

If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

• Matrix, m x n

A rectangular array of m rows and n columns of real numbers

• Midpoint (in Cartesian space)

For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

• Monomial function

A polynomial with exactly one term.

• Nappe

See Right circular cone.

• nth root

See Principal nth root

• Numerical derivative of ƒ at a

NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

• Ordinary annuity

An annuity in which deposits are made at the same time interest is posted.

• Product of complex numbers

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

• Reciprocal function

The function ƒ(x) = 1x

• Sample survey

A process for gathering data from a subset of a population, usually through direct questioning.

• Standard unit vectors

In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

• Third quartile

See Quartile.

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.