1. Given the set of points below for f(x) = 5 sin (3 -;). Solve for the value of f(4.2). Compare | approximation (4 decimal places) using n = 3, n = 5 and n = 6. Compute also for the percentage error for each n. %3D N 1 2 3 4 0.5 2.25 3.1 3.9 6.34

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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B. Newton's Divided Differences:
1. Given the set of points below for f(x) = 5 sin (3 -;). Solve for the value of f(4.2). Compare
= 3, n = 5 and n = 6. Compute also for the percentage error
approximation (4 decimal places) using n =
for each n.
1
3
4
5
6
0.5
2.25
3.1
3.9
5
6.34
Transcribed Image Text:B. Newton's Divided Differences: 1. Given the set of points below for f(x) = 5 sin (3 -;). Solve for the value of f(4.2). Compare = 3, n = 5 and n = 6. Compute also for the percentage error approximation (4 decimal places) using n = for each n. 1 3 4 5 6 0.5 2.25 3.1 3.9 5 6.34
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