Interpolating Polynomials and Splines Given the data x 12356 f(x): 15 8 5.5 30 52 Calculate f(4) using (a) Newton's interpolating polynomials of order 4,

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Interpolating Polynomials and Splines
Given the data
x 12356
fox): 15 8 5.5 30 52
Calculate f(4) using
(a) Newton's interpolating polynomials of order 4,
(b) cubic splines with not-a-knot end conditions,
(c) cubic splines with zero-slope clamped end conditions, and
(d) piecewise cubic Hemite interpolation.
Function e
A Save
C Reset
E MATLAB Documentation
function y=CL10_Exercise(part)
2 % Input
3 % part: string for part 'a', 'b', 'c', 'd' (see above)
4 %
5 % output
6 % y value of the unerlying function at x=4
7 %
8
9 % write your code here
10
11 switch part
12
case 'a'
13
2% Newton interpolation (Order 4)
14
case 'b'
15
2% not-a-knot spline
16
case 'c'
% clamped spline
17
18
case 'd'
19
2% Hermite spline
20 end
21
22 end
Transcribed Image Text:My Solutions > Interpolating Polynomials and Splines Given the data x 12356 fox): 15 8 5.5 30 52 Calculate f(4) using (a) Newton's interpolating polynomials of order 4, (b) cubic splines with not-a-knot end conditions, (c) cubic splines with zero-slope clamped end conditions, and (d) piecewise cubic Hemite interpolation. Function e A Save C Reset E MATLAB Documentation function y=CL10_Exercise(part) 2 % Input 3 % part: string for part 'a', 'b', 'c', 'd' (see above) 4 % 5 % output 6 % y value of the unerlying function at x=4 7 % 8 9 % write your code here 10 11 switch part 12 case 'a' 13 2% Newton interpolation (Order 4) 14 case 'b' 15 2% not-a-knot spline 16 case 'c' % clamped spline 17 18 case 'd' 19 2% Hermite spline 20 end 21 22 end
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