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Name: .(NUMERICAL ANALYSIS) 6 -Given the two points [a,f(a)}, [b.f(b)], the
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Description: .(NUMERICAL ANALYSIS) 6 -Given the two points [a,f(a)}, [b.f(b)], the linear Lagrange polynomial fi(x) thatpasses through these two points is given bya) O f(x) = f(a)+ S(6)- fla)(b -eb- ab) O fi(x) =,*_f(a)+.b a'- f(b)b- aC)O fi(x)= *-bc) O f(x)=-S(a

Math

Advanced Math

Given the two points [a, f(a)} [b. f(b)]. the linear Lagrange polynomial fi(x) that passes through these two points is given by

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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Q: part 4

A: Solution: It is given here:

Topic Video

Question

.(NUMERICAL ANALYSIS)

6 -
Given the two points [a,f(a)}, [b.f(b)], the linear Lagrange polynomial fi(x) that
passes through these two points is given by
a) O f(x) = f(a)+ S(6)- fla)(b -e
b- a
b) O fi(x) =,*_f(a)+.
b a'
- f(b)
b- a
C)O fi(x)= *-b
c) O f(x)=-
S(a)+-
a -b'
x- a
a – b
x-b
X-a
d) O f(x)=
(a)+
f(b)
a – b
b-a'
NONE IS CORRECT

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