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# Solutions for Chapter 4.4: Fundamentals of Differential Equations 8th Edition ## Full solutions for Fundamentals of Differential Equations | 8th Edition

ISBN: 9780321747730 Solutions for Chapter 4.4

Solutions for Chapter 4.4
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##### ISBN: 9780321747730

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4.4 includes 36 full step-by-step solutions. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Since 36 problems in chapter 4.4 have been answered, more than 61858 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Absolute minimum

A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

• Elementary row operations

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

• Equivalent vectors

Vectors with the same magnitude and direction.

• Five-number summary

The minimum, first quartile, median, third quartile, and maximum of a data set.

• Horizontal component

See Component form of a vector.

• kth term of a sequence

The kth expression in the sequence

• Linear system

A system of linear equations

• Parametric equations for a line in space

The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

• Polar coordinate system

A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

• Positive association

A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

• Probability simulation

A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

• Product of a scalar and a vector

The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

• Product rule of logarithms

ogb 1RS2 = logb R + logb S, R > 0, S > 0,

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Residual

The difference y1 - (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

• Row operations

See Elementary row operations.

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

• Vertex of an angle

See Angle.

• x-coordinate

The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

• y-axis

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

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