Using Newton's Divided Difference, the polynomial that interpolates x + sinx at the points x, =1,x2 = 2,x3 = 3,x4 = 4 , and x5 = 5 can be written as P(х) %3 Со + с, (х —- 1) + с, (х — 1)(х - 2) + с, (х — 1)(х - 2)(х — 3) +C,(х — 1)(х — 2)(х — 3)(х — 4). What is the value of c,? (A 0.00497 B -0.418002 © 0.06801 1.06783

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Using Newton's Divided Difference, the polynomial that interpolates x + sinx
at the points x, =1,x2 = 2,x3 = 3,x4 = 4 , and x5 = 5 can be written as
P(x) = c, + c,(x – 1) + c2(x – 1)(x – 2) + c3 (x – 1)(x – 2)(x – 3)
+C,(х — 1)(х — 2)(х — 3)(х — 4).
What is the value of c,?
A
0.00497
в
-0.418002
c 0.06801
1.06783
Transcribed Image Text:Using Newton's Divided Difference, the polynomial that interpolates x + sinx at the points x, =1,x2 = 2,x3 = 3,x4 = 4 , and x5 = 5 can be written as P(x) = c, + c,(x – 1) + c2(x – 1)(x – 2) + c3 (x – 1)(x – 2)(x – 3) +C,(х — 1)(х — 2)(х — 3)(х — 4). What is the value of c,? A 0.00497 в -0.418002 c 0.06801 1.06783
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