Question
Asked Jul 18, 2019
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0, 2 is defined by
A natural cubic spline S on
5.
So()12x -
0
if
1
(1)
S(r)2b(x1)c(x - 1)2d(x - 1)
if
1 x2
Find b, c, and d
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0, 2 is defined by A natural cubic spline S on 5. So()12x - 0 if 1 (1) S(r)2b(x1)c(x - 1)2d(x - 1) if 1 x2 Find b, c, and d

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Expert Answer

Step 1

5.

Note that, the natural cubic spline must satisfy the conditions

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0)0, (2) 0, s,(1)= s(1), s;(1)=S(1), s'(1)s(1)

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Step 2

Obtain the value of b as follows.

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(x)2-3x2 (1) 2-3(1)-1 (x)b+ 2c (x-)+3d (x-1) (1)b+2c(1-1)+3d(1-1) =b b- (1)= s{(1)

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Step 3

Obtain the value of c a...

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S(x)= -6x (1)-6(1)-6 5(х) - 2с + ба (х-1) s(1) - 2с + ба (1-1) - 2с 2c-6 (1)=s?(1)) C-3

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