# Solutions for Chapter 11: ORTHOGONAL FUNCTIONS AND FOURIER SERIES

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

ISBN: 9780495108368

Solutions for Chapter 11: ORTHOGONAL FUNCTIONS AND FOURIER SERIES

Solutions for Chapter 11
4 5 0 406 Reviews
11
3
##### ISBN: 9780495108368

Since 25 problems in chapter 11: ORTHOGONAL FUNCTIONS AND FOURIER SERIES have been answered, more than 7455 students have viewed full step-by-step solutions from this chapter. 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. This textbook survival guide was created for the textbook: Differential Equations with Boundary-Value Problems, edition: 7. Chapter 11: ORTHOGONAL FUNCTIONS AND FOURIER SERIES includes 25 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Basic logistic function

The function ƒ(x) = 1 / 1 + e-x

• Complements or complementary angles

Two angles of positive measure whose sum is 90°

• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• Equivalent systems of equations

Systems of equations that have the same solution.

• Fibonacci numbers

The terms of the Fibonacci sequence.

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• Horizontal component

See Component form of a vector.

• Initial value of a function

ƒ 0.

• Intercepted arc

Arc of a circle between the initial side and terminal side of a central angle.

• Line graph

A graph of data in which consecutive data points are connected by line segments

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• Parametric curve

The graph of parametric equations.

An equation that can be written in the form ax 2 + bx + c = 01a ? 02

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

• Quotient polynomial

See Division algorithm for polynomials.

The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

• Sample survey

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

• Square matrix

A matrix whose number of rows equals the number of columns.

• Unit circle

A circle with radius 1 centered at the origin.

• Whole numbers

The numbers 0, 1, 2, 3, ... .

×

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
We're here to help