the red ben is the final asnwer EXAMPLE 4.4Given the following data:-13.y-/(x)Approximate S(2 ) by using Newton's divided difference interpolationAnsi f Ca) = 3EXAMPLE 4.7A census of the population of the United Kingdom is taken every 10 years Thefoowing data list the population, in thousands on people, from 1930 to 19901930 – 123 203; 1940 - 131 669; 1950 - 150 697; 1960 - 179 323;1970 - 203 212; 1980 - 226 505; 1990 - 249 633.Find the population in 1965 from the polynomial that interpolates the data.As:f C965)= 191900.125,Sue pplateon shaldbe an nteger reamber, Rc 965) = 191900%3DEXAMPLE 4.8Table 472.12.42.6f(x)0.5210.5100381Based on the data above, find the Newton's interpolatory divided-difference polynomial and approximate value for f(2.5).(b)(a)Find f(2.5) if 1(20) = 0.510 is added in the data given in (a)ISAo: a) f Caus )=0.458b) f Cais)= O.463

Answered: Image /qna-images/answer/5fef7127-8fcd-47cf-be8c-768c0428f8e4.jpg

Answered: EXAMPLE 4.4 Given the following data: 3…

EXAMPLE 4.4 Given the following data: 3 y-/(x) Approximate S(2 ) by using Newton's divided difference interpolation Ansi f Ca) = 3 EVAM DLE

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Question

the red ben is the final asnwer

EXAMPLE 4.4
Given the following data:
-1
3.
y-/(x)
Approximate S(2 ) by using Newton's divided difference interpolation
Ansi f Ca) = 3
EXAMPLE 4.7
A census of the population of the United Kingdom is taken every 10 years The
foowing data list the population, in thousands on people, from 1930 to 1990
1930 – 123 203; 1940 - 131 669; 1950 - 150 697; 1960 - 179 323;
1970 - 203 212; 1980 - 226 505; 1990 - 249 633.
Find the population in 1965 from the polynomial that interpolates the data.
As:
f C965)= 191900.125,
Sue pplateon shald
be an nteger reamber, Rc 965) = 191900
%3D
EXAMPLE 4.8
Table 47
2.1
2.4
2.6
f(x)
0.521
0.510
0381
Based on the data above, find the Newton's interpolatory divided-
difference polynomial and approximate value for f(2.5).
(b)
(a)
Find f(2.5) if 1(20) = 0.510 is added in the data given in (a)
IS
Ao: a) f Caus )=0.458
b) f Cais)= O.463

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