Please answer everything fully and show steps!
restart;
with(Student[NumericalAnalysis]); with(plots);
a[1] := -355/7168;
a[2] := 95/7168;
a[3] := 395/7168;
a[4] := -135/7168;
b[1] := 0;
b[2] := -1065/896;
b[3] := -195/224;
b[4] := 405/896;
c[1] := 2735/112;
c[2] := 835/56;
c[3] := -25/16;
c[4] := -275/56;
d[1] := 320;
d[2] := 490;
d[3] := 540;
d[4] := 500;
T1 := piecewise(x < 22,
a[1]*(x-14)^3+b[1]*(x-14)^2+c[1]*(x-14)+d[1], x < 30,
a[2]*(x-22)^3+b[2]*(x-22)^2+c[2]*(x-22)+d[2], x < 38,
a[3]*(x-30)^3+b[3]*(x-30)^2+c[3]*(x-30)+d[3], x > 38,
a[4]*(x-38)^3+b[4]*(x-38)^2+c[4]*(x-38)+d[4]); P1 := plot(T1, x =
14 .. 46, numpoints = 1000, discont = false);
xy := [[14, 320], [22, 490], [30, 540], [38, 500], [46,
480]];
P2 := pointplot(xy);
display(P1, P2);
Please answer everything fully and show steps! 3. The set of the following data points is...
To be done by hand 3. The set of the following data points is given days X 14 22 490 30 38 540 380 у 320 (a) Determine the natural cubic splines that fit the data. (b) Determine the clamped-clamped splines that fit the data (c) Determine the interpolated value of y for r = 27 both from (a) and (b). (d) Plot of the data points and the interpolating polynomials.
3. The set of the following data points is given days x 14 22 30 y 320 490 540 38 380 (a) Determine the natural cubic splines that fit the data. (b) Determine the clamped-clamped splines that fit the data (e) Determine the interpolated value of y for x = 27 both from (a) and (b). (d) Plot of the data points and the interpolating polynomials.
Determine the clamped-clamped splines that fit the data 3. The set of the following data points is given days x 14 22 30 38 490 540 380 y 320
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