1. The table below gives the values of x and Ax): х: -1 1 2 3 Ax) : -9 -3 | 10 40 70 Construct a divided-difference table for the above data. (2)

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Chapter2: Second-order Linear Odes
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Numerical methods for science and engineering
1. The table below gives the values of x and flx):
х:
-1
1
2
3
4
fx) :
-9
-3
10
40
70
Construct a divided-difference table for the above data. (2)
1. The values of distance at various times are given below
Time (f)
4 6
10
12
Distance(s)
9.38
14.07 20.37
46.42
56.40
Using three point central difference formula estimate the
speeds at (i)t = 8, (ii) t = 7
(2)
Transcribed Image Text:Numerical methods for science and engineering 1. The table below gives the values of x and flx): х: -1 1 2 3 4 fx) : -9 -3 10 40 70 Construct a divided-difference table for the above data. (2) 1. The values of distance at various times are given below Time (f) 4 6 10 12 Distance(s) 9.38 14.07 20.37 46.42 56.40 Using three point central difference formula estimate the speeds at (i)t = 8, (ii) t = 7 (2)
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