
Multiple Choice Questions A-21
(2) h
2
y″(x), Second-order derivative from Stirling’s
formula
(3) hy′(x), First-order derivative from Bessel’s
formula
(4) h
2
y″(x), Second-order derivative from Bessel’s
formula
The correct pairing of members of Set A and
Set B is
(a) (1, 4) (2, 3) (3, 1) (4, 2)
(b) (1, 4) (2, 3) (3, 2) (4, 1)
(c) (1, 3) (2, 4) (3, 1) (4, 2)
(d) (1, 1) (2, 2) (3, 3) (4, 4) Ans: (d)
5. Using the Newton’s forward interpolation
formula find y′(1.1) if x
0
= 1.0, h = 0.2, p = 0.5,
Δy
0
= 0.128, Δ
2
y
0
= 0.288 and Δ
3
y
0
= 0.048.
(a) 0.61 (b) 0.62 (c) 0.63 (d) 0.64
Ans: (c)
−
⎡
⎡
+= Δ+ Δ
′
⎢
⎢
⎣
⎣
⎤
−+
+Δ
⎥
⎦
⎡⎤
−+
=++
⎢⎥
⎣⎦
⎤
=
⎥
⎦
2
00
0
2
3
0
2
121
()
2
36