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
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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.(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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F242db555-e760-4cab-87fe-1b64ae9fc789%2F22dfb66c-6da1-493e-83d3-8c383e8435b7%2Fngv9y9i_processed.png&w=3840&q=75)
Transcribed Image Text: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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