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Solutions for Chapter 7.5: The Dirac Delta Function

Full solutions for Differential Equations with Boundary-Value Problems | 7th Edition

ISBN: 9780495108368

Solutions for Chapter 7.5: The Dirac Delta Function

Solutions for Chapter 7.5
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ISBN: 9780495108368

This textbook survival guide was created for the textbook: Differential Equations with Boundary-Value Problems, edition: 7. Differential Equations with Boundary-Value Problems was written by and is associated to the ISBN: 9780495108368. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 7.5: The Dirac Delta Function includes 15 full step-by-step solutions. Since 15 problems in chapter 7.5: The Dirac Delta Function have been answered, more than 16651 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Average rate of change of ƒ over [a, b]

The number ƒ(b) - ƒ(a) b - a, provided a ? b.

• Boundary

The set of points on the “edge” of a region

• Conversion factor

A ratio equal to 1, used for unit conversion

• Dependent variable

Variable representing the range value of a function (usually y)

• Elimination method

A method of solving a system of linear equations

• Event

A subset of a sample space.

See Polynomial function in x.

• Least-squares line

See Linear regression line.

• Matrix, m x n

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

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Polynomial in x

An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

• Remainder theorem

If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

• Variation

See Power function.

• Vector

An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

• Vertices of a hyperbola

The points where a hyperbola intersects the line containing its foci.

• Weighted mean

A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

• Zero matrix

A matrix consisting entirely of zeros.

• Zero vector

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

• Zoom out

A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).

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