The population, f, of asmall community on theoutskirts of a city grewrapidly overa fifteenyear period, ascan beseen in the table:1015f(x)100212448949Here x denotes time (inyears), while f(x)represents the size ofthe population of thecommunity at time x.Asan engineer workingfor an electricitycompany, you must find anapproximation for whatthe population size wasat time x = 7.5, in orderto estimate what the to estimate what thedemand for electricitywasat the time.a) Construct a backwarddifference table for thedata.b) Use the backwarddifference tablepresented in a), alongwith Newton's backwarddifference formula, toapproximate f(7.5) with apolynomial of degree 2,P2(x). Start withXn15.c) Estimate the error inthe approximation in b).

Answered: to estimate what the demand for…

to estimate what the demand for electricity was at the time. a) Construct a backward difference table for the data. b) Use the backward difference t able

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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2. A.) Find the 5-number summary for the data. B.) Is the data discrete or continuous?
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