Let p2 (x) be the interpolating polynomial of f(x) at xo = 4, x1 = 4.5, and x2 = 5. Ther the error term in approximating f(x) by p2(x) is Select one: Оа. Е-(«) — (z — 4)(ӕ — 4.5)(ӕ — 5)о, сЕ (4,5). ), c € (4, 5). O a. | 3! P2 (c) 3! Ob. O b. E2(x) = (x – 4)(x – 4.5)(æ – 5) , ce (4, 5). - O C. E2(x) = (x – 4)(x – 4.5)(x - 5)L(e) 2, с € (4,5). f(?)(c) O d. e (4, 5). E (x) = (x – 4)(æ – 4.5)(x – 5)º, ce - 2! f( (c) O e. E2 (r) = (x – 4)(x – 5), ce (4, 5). се (4, 5). - 3!

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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#Numerical analysis#

Let p2(x) be the interpolating polynomial of f(x) at xo = 4, x1 = 4.5, and x2 = 5. Ther
the error term in approximating f(x) by p2(x) is
Select one:
f(3) (c)
O a. E2(x) = (x – 4)(x – 4.5)(x – 5)º, c e (4, 5).
-
3!
O b.
P2 (c)
3!
-
Ос E,(ӕ) %— (г — 4) (г — 4.5)(ӕ — 5)0,
O C.
f(3) (c)
(и — 4) (ӕ — 4.5)(х — 5), с€ (4,5).
3
d.
f(?) (c)
E„(x) = (x – 4)(x – 4.5)(x – 5), cE (4, 5).
-
-
2!
Ое. E, («) — (г — 4)(ӕ — 5), с € (4, 5).
f(®(c)
се (4, 5).
-
Transcribed Image Text:Let p2(x) be the interpolating polynomial of f(x) at xo = 4, x1 = 4.5, and x2 = 5. Ther the error term in approximating f(x) by p2(x) is Select one: f(3) (c) O a. E2(x) = (x – 4)(x – 4.5)(x – 5)º, c e (4, 5). - 3! O b. P2 (c) 3! - Ос E,(ӕ) %— (г — 4) (г — 4.5)(ӕ — 5)0, O C. f(3) (c) (и — 4) (ӕ — 4.5)(х — 5), с€ (4,5). 3 d. f(?) (c) E„(x) = (x – 4)(x – 4.5)(x – 5), cE (4, 5). - - 2! Ое. E, («) — (г — 4)(ӕ — 5), с € (4, 5). f(®(c) се (4, 5). -
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