- 3-126.96.36.199: Use Theorem 3.9 or Algorithm 3.3 to construct an approximating poly...
- 3-188.8.131.52: Use Theorem 3.9 or Algorithm 3.3 to construct an approximating poly...
- 3-184.108.40.206: The data in Exercise 1 were generated using the following functions...
- 3-220.127.116.11: The data in Exercise 2 were generated using the following functions...
- 3-18.104.22.168: a. Use the following values and five-digit rounding arithmetic to c...
- 3-22.214.171.124: Let f (x) = 3xex e2x . a. Approximate f (1.03) by the Hermite inter...
- 3-126.96.36.199: Use the error formula and Maple to find a bound for the errors in t...
- 3-188.8.131.52: Use the error formula and Maple to find a bound for the errors in t...
- 3-184.108.40.206: The following table lists data for the function described by f (x) ...
- 3-220.127.116.11: A car traveling along a straight road is clocked at a number of poi...
- 3-18.104.22.168: a. Show that H2n+1(x) is the unique polynomial of least degree agre...
- 3-22.214.171.124: Let z0 = x0, z1 = x0, z2 = x1, and z3 = x1. Form the following divi...
Solutions for Chapter 3-3: Hermite Interpolation
Full solutions for Numerical Analysis (Available Titles CengageNOW) | 8th Edition
Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)
Angle of depression
The acute angle formed by the line of sight (downward) and the horizontal
Angle of elevation
The acute angle formed by the line of sight (upward) and the horizontal
A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.
Chord of a conic
A line segment with endpoints on the conic
A logarithm with base 10.
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.
See Equilibrium point.
See Frequency table.
General form (of a line)
Ax + By + C = 0, where A and B are not both zero.
The amount of time required for half of a radioactive substance to decay.
Inverse tangent function
The function y = tan-1 x
See Absolute value of a complex number.
See Right circular cone.
Natural exponential function
The function ƒ1x2 = ex.
Order of magnitude (of n)
Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02
A variable (in statistics) that takes on numerical values for a characteristic being measured.
Standard form of a polynomial function
ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0
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.