- 8-184.108.40.206: Use the zeros of T 3 to construct an interpolating polynomial of de...
- 8-220.127.116.11: Use the zeros of T 4 to construct an interpolating polynomial of de...
- 8-18.104.22.168: Find a bound for the maximum error of the approximation in Exercise...
- 8-22.214.171.124: Repeat Exercise 3 for the approximations computed in Exercise 2.
- 8-126.96.36.199: Use the zeros of T 3 and transformations of the given interval to c...
- 8-188.8.131.52: Find the sixth Maclaurin polynomial for xex , and use Chebyshev pol...
- 8-184.108.40.206: Find the sixth Maclaurin polynomial for sin x, and use Chebyshev po...
- 8-220.127.116.11: Show that for any positive integers i and j with i > j, we have Ti(...
- 8-18.104.22.168: Show that for each Chebyshev polynomial Tn (x), we have 1 1 [Tn (x)...
Solutions for Chapter 8-3: Chebyshev Polynomials and Economization of Power Series
Full solutions for Numerical Analysis (Available Titles CengageNOW) | 8th Edition
Solutions for Chapter 8-3: Chebyshev Polynomials and Economization of Power SeriesGet Full Solutions
Additive inverse of a complex number
The opposite of a + bi, or -a - bi
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
See Normal curve.
Index of summation
See Summation notation.
Inverse sine function
The function y = sin-1 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)
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.
A square matrix with zero determinant
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 x-axis
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.
See Power function.
Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.
The scale of the tick marks on the x-axis in a viewing window.