05.05.1
Multiple-Choice Test
Chapter 05.05
Spline Method of Interpolation
1.
The following
n
data points,
(
)
1
1
,
y
x
,
(
)
2
2
,
y
x
, ……..
(
)
n
n
y
x
,
, are given.
For
conducting quadratic spline interpolation the
x
-data needs to be
(A)
equally spaced
(B)
placed in ascending or descending order of
x
-values
(C)
integers
(D)
positive
2.
In cubic spline interpolation,
3.
The following incomplete
y
vs.
x
data is given.
x
1
2
4
6
7
y
5
11
????
????
32
The data is fit by quadratic spline interpolants given by
( )
1
−
=
ax
x
f
,
2
1
≤
≤
x
( )
4
2
,
9
14
2
2
≤
≤
−
+
−
=
x
x
x
x
f
( )
6
4
,
2
≤
≤
+
+
=
x
d
cx
bx
x
f
( )
7
6
,
928
303
25
2
≤
≤
+
−
=
x
x
x
x
f
where
d
c
b
a
and
,
,
,
are constants.
The value of
c
is most nearly

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