 32.3.2.1: Use Eq. (3.10) or Algorithm 3.2 to construct interpolating polynomi...
 32.3.2.2: Use Eq. (3.17) or Algorithm 3.2 to construct interpolating polynomi...
 32.3.2.3: Use the Newton forwarddifference formula to construct interpolatin...
 32.3.2.4: Use the Newton forwarddifference formula to construct interpolatin...
 32.3.2.5: Use the Newton backwarddifference formula to construct interpolati...
 32.3.2.6: Use the Newton backwarddifference formula to construct interpolati...
 32.3.2.7: a. Use Algorithm 3.2 to construct the interpolating polynomial of d...
 32.3.2.8: a. Use Algorithm 3.2 to construct the interpolating polynomial of d...
 32.3.2.9: a. Approximate f (0.05) using the following data and the Newton for...
 32.3.2.10: how that the polynomial interpolating the following data has degree...
 32.3.2.11: a. Show that the cubic polynomials P(x) = 3 2(x + 1) + 0(x + 1)(x) ...
 32.3.2.12: A fourthdegree polynomial P(x) satisfies 4P(0) = 24, 3P(0) = 6, an...
 32.3.2.13: The following data are given for a polynomial P(x) of unknown degre...
 32.3.2.14: The following data are given for a polynomial P(x) of unknown degre...
 32.3.2.15: The Newton forward divideddifference formula is used to approximat...
 32.3.2.16: For a function f , the Newton divideddifference formula gives the ...
 32.3.2.17: For a function f , the forward divided differences are given by x0 ...
 32.3.2.18: a. The introduction to this chapter included a table listing the po...
 32.3.2.19: Given Pn (x) = f [x0] + f [x0, x1](x x0) + a2(x x0)(x x1) + a3(x x0...
 32.3.2.20: Show that f [x0, x1,... , xn , x] = f (n+1) ((x)) (n + 1)! , for so...
 32.3.2.21: Let i0,i1,... ,in be a rearrangement of the integers 0, 1,... , n. ...
Solutions for Chapter 32: Divided Differences
Full solutions for Numerical Analysis (Available Titles CengageNOW)  8th Edition
ISBN: 9780534392000
Solutions for Chapter 32: Divided Differences
Get Full SolutionsChapter 32: Divided Differences includes 21 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 21 problems in chapter 32: Divided Differences have been answered, more than 12478 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. Numerical Analysis (Available Titles CengageNOW) was written by and is associated to the ISBN: 9780534392000.

Angle of elevation
The acute angle formed by the line of sight (upward) and the horizontal

artesian coordinate system
An association between the points in a plane and ordered pairs of real numbers; or an association between the points in threedimensional space and ordered triples of real numbers

Boxplot (or boxandwhisker plot)
A graph that displays a fivenumber summary

Coefficient
The real number multiplied by the variable(s) in a polynomial term

Cofunction identity
An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

Conversion factor
A ratio equal to 1, used for unit conversion

Expanded form of a series
A series written explicitly as a sum of terms (not in summation notation).

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

Inverse cosine function
The function y = cos1 x

kth term of a sequence
The kth expression in the sequence

Leibniz notation
The notation dy/dx for the derivative of ƒ.

nth power of a
The number with n factors of a , where n is the exponent and a is the base.

Opens upward or downward
A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

Ordinary annuity
An annuity in which deposits are made at the same time interest is posted.

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

Simple harmonic motion
Motion described by d = a sin wt or d = a cos wt

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

Sum of a finite geometric series
Sn = a111  r n 2 1  r

Symmetric property of equality
If a = b, then b = a

Tangent line of ƒ at x = a
The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.