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# Solutions for Chapter 7.6: Fundamentals of Differential Equations 8th Edition

## Full solutions for Fundamentals of Differential Equations | 8th Edition

ISBN: 9780321747730

Solutions for Chapter 7.6

Solutions for Chapter 7.6
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##### ISBN: 9780321747730

Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. Chapter 7.6 includes 57 full step-by-step solutions. Since 57 problems in chapter 7.6 have been answered, more than 159805 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Binomial theorem

A theorem that gives an expansion formula for (a + b)n

• Compounded annually

See Compounded k times per year.

• Dihedral angle

An angle formed by two intersecting planes,

• 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

• Fitting a line or curve to data

Finding a line or curve that comes close to passing through all the points in a scatter plot.

• Gaussian curve

See Normal curve.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

See Polynomial function in x.

• Major axis

The line segment through the foci of an ellipse with endpoints on the ellipse

• Matrix element

Any of the real numbers in a matrix

• Mean (of a set of data)

The sum of all the data divided by the total number of items

• 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)

• NINT (ƒ(x), x, a, b)

A calculator approximation to ?ab ƒ(x)dx

• Odd function

A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).

• Parameter

See Parametric equations.

• 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,

• Real zeros

Zeros of a function that are real numbers.

• Root of an equation

A solution.

• Spiral of Archimedes

The graph of the polar curve.

• 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>