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# Solutions for Chapter 5.2: Fundamentals of Differential Equations 8th Edition ## Full solutions for Fundamentals of Differential Equations | 8th Edition

ISBN: 9780321747730 Solutions for Chapter 5.2

Solutions for Chapter 5.2
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##### ISBN: 9780321747730

Chapter 5.2 includes 34 full step-by-step solutions. Since 34 problems in chapter 5.2 have been answered, more than 26452 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730.

Key Calculus Terms and definitions covered in this textbook
• Bearing

Measure of the clockwise angle that the line of travel makes with due north

• Component form of a vector

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

• Cube root

nth root, where n = 3 (see Principal nth root),

• Distance (in a coordinate plane)

The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• Histogram

A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

• Implied domain

The domain of a function’s algebraic expression.

• Limit to growth

See Logistic growth function.

• Linear regression equation

Equation of a linear regression line

• Modulus

See Absolute value of a complex number.

• Product of complex numbers

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

• Reflection across the x-axis

x, y and (x,-y) are reflections of each other across the x-axis.

• Relation

A set of ordered pairs of real numbers.

• Replication

The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

• Response variable

A variable that is affected by an explanatory variable.

• Sample survey

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

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Solve by substitution

Method for solving systems of linear equations.

• Transpose of a matrix

The matrix AT obtained by interchanging the rows and columns of A.

• Vertical component

See Component form of a vector.

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