11. Given f(x) = e*. (a) Complete the following table. 0.25 0.75 1.0 f(x) = e* (b) Hence, find P, (0.4) by using Newton's divided-difference method.

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11. Given f(x) = e¯* .
(a) Complete the following table.
0.25
0.75
1.0
f(x) = e¯*
(b) Hence, find P,(0.4) by using Newton's divided-difference method.
(c) If (0.5, 0.607) is added into the data above, find f(0.4) by using
Newton's divided-difference method.
Transcribed Image Text:11. Given f(x) = e¯* . (a) Complete the following table. 0.25 0.75 1.0 f(x) = e¯* (b) Hence, find P,(0.4) by using Newton's divided-difference method. (c) If (0.5, 0.607) is added into the data above, find f(0.4) by using Newton's divided-difference method.
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