×
Log in to StudySoup
Get Full Access to Calculus - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Calculus - Textbook Survival Guide

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 0 310 Reviews
11
3
Textbook: Differential Equations with Boundary-Value Problems
Edition: 7
Author: Dennis G. Zill, Michael R. Cullen
ISBN: 9780495108368

Since 25 problems in chapter 11: ORTHOGONAL FUNCTIONS AND FOURIER SERIES have been answered, more than 14338 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
  • Absolute maximum

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

  • Addition principle of probability.

    P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

  • Compounded k times per year

    Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

  • Conversion factor

    A ratio equal to 1, used for unit conversion

  • Direction angle of a vector

    The angle that the vector makes with the positive x-axis

  • Exponential growth function

    Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

  • Factoring (a polynomial)

    Writing a polynomial as a product of two or more polynomial factors.

  • Half-plane

    The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

  • Inverse relation (of the relation R)

    A relation that consists of all ordered pairs b, a for which a, b belongs to R.

  • Nappe

    See Right circular cone.

  • Paraboloid of revolution

    A surface generated by rotating a parabola about its line of symmetry.

  • Parameter

    See Parametric equations.

  • Polar coordinates

    The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

  • 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)

  • Random behavior

    Behavior that is determined only by the laws of probability.

  • Regression model

    An equation found by regression and which can be used to predict unknown values.

  • Sample space

    Set of all possible outcomes of an experiment.

  • Scientific notation

    A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

  • Second-degree equation in two variables

    Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

  • Upper bound test for real zeros

    A test for finding an upper bound for the real zeros of a polynomial.

×
Log in to StudySoup
Get Full Access to Calculus - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Calculus - Textbook Survival Guide
×
Reset your password