 83.8.3.1: Use the zeros of T 3 to construct an interpolating polynomial of de...
 83.8.3.2: Use the zeros of T 4 to construct an interpolating polynomial of de...
 83.8.3.3: Find a bound for the maximum error of the approximation in Exercise...
 83.8.3.4: Repeat Exercise 3 for the approximations computed in Exercise 2.
 83.8.3.5: Use the zeros of T 3 and transformations of the given interval to c...
 83.8.3.6: Find the sixth Maclaurin polynomial for xex , and use Chebyshev pol...
 83.8.3.7: Find the sixth Maclaurin polynomial for sin x, and use Chebyshev po...
 83.8.3.8: Show that for any positive integers i and j with i > j, we have Ti(...
 83.8.3.9: Show that for each Chebyshev polynomial Tn (x), we have 1 1 [Tn (x)...
Solutions for Chapter 83: Chebyshev Polynomials and Economization of Power Series
Full solutions for Numerical Analysis (Available Titles CengageNOW)  8th Edition
ISBN: 9780534392000
Solutions for Chapter 83: Chebyshev Polynomials and Economization of Power Series
Get Full SolutionsSince 9 problems in chapter 83: Chebyshev Polynomials and Economization of Power Series have been answered, more than 12579 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Numerical Analysis (Available Titles CengageNOW) , edition: 8. Chapter 83: Chebyshev Polynomials and Economization of Power Series includes 9 full stepbystep solutions. Numerical Analysis (Available Titles CengageNOW) was written by and is associated to the ISBN: 9780534392000. This expansive textbook survival guide covers the following chapters and their solutions.

Additive inverse of a complex number
The opposite of a + bi, or a  bi

Complex number
An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

Derivative of ƒ
The function defined by ƒ'(x) = limh:0ƒ(x + h)  ƒ(x)h for all of x where the limit exists

Gaussian curve
See Normal curve.

Index of summation
See Summation notation.

Inverse sine function
The function y = sin1 x

Length of a vector
See Magnitude of a vector.

Mode of a data set
The category or number that occurs most frequently in the set.

Negative linear correlation
See Linear correlation.

Order of magnitude (of n)
log n.

Phase shift
See Sinusoid.

Quotient rule of logarithms
logb a R S b = logb R  logb S, R > 0, S > 0

Resolving a vector
Finding the horizontal and vertical components of a vector.

Singular matrix
A square matrix with zero determinant

Summation notation
The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

symmetric about the xaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is

Unit vector in the direction of a vector
A unit vector that has the same direction as the given vector.

Variation
See Power function.

xaxis
Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.

Xscl
The scale of the tick marks on the xaxis in a viewing window.