B- For the following data, find f '(2.55), f '(2.7), and f '(2.65) by using the appropriate formula in below for each one. (15Mark) 37 2 X 2.5 Y 1.58114 2.55 1.59687 2.6 2.65 2.7 2.75 1.61245 1.62788 1.64317 1.65831 f₁ = Ji-1+1+1 2h .fi = -6fi-1+20fi+36fi+1-12fi+2+2fi+3 24h fi = fi-2-8fi-1+8fi+1-fi+2 12h

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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B- For the following data, find f '(2.55), f '(2.7), and f '(2.65) by using the appropriate
formula in below for each one. (15Mark)
37
2
X
2.5
Y
1.58114
2.55
1.59687
2.6
2.65
2.7
2.75
1.61245
1.62788
1.64317
1.65831
f₁ =
Ji-1+1+1
2h
.fi =
-6fi-1+20fi+36fi+1-12fi+2+2fi+3
24h
fi =
fi-2-8fi-1+8fi+1-fi+2
12h
Transcribed Image Text:B- For the following data, find f '(2.55), f '(2.7), and f '(2.65) by using the appropriate formula in below for each one. (15Mark) 37 2 X 2.5 Y 1.58114 2.55 1.59687 2.6 2.65 2.7 2.75 1.61245 1.62788 1.64317 1.65831 f₁ = Ji-1+1+1 2h .fi = -6fi-1+20fi+36fi+1-12fi+2+2fi+3 24h fi = fi-2-8fi-1+8fi+1-fi+2 12h
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