1- A discrete data set with Ax=0.25 steps is presented in the table. Obtain function values at Ax=0.1 steps using; a) Lagrange interpolating polynomial. b) Linear splines. c) Quadratic splines. d) Cubic splines. Present your results in a table. Then, plot your results. Which of these methods seem more suitable for given data? Briefly explain why. | Writing program codes for the solution of problems is highly recommended (You can use any programming language of your choice). Xi 0 0.25 0.5 0.75 1 1.25 1.5 1.75 f₁ 0 0.72424 1.2456 1.1509 0.14112 -0.14201 -0.054153 -0.012912 2 -0.0013662
1- A discrete data set with Ax=0.25 steps is presented in the table. Obtain function values at Ax=0.1 steps using; a) Lagrange interpolating polynomial. b) Linear splines. c) Quadratic splines. d) Cubic splines. Present your results in a table. Then, plot your results. Which of these methods seem more suitable for given data? Briefly explain why. | Writing program codes for the solution of problems is highly recommended (You can use any programming language of your choice). Xi 0 0.25 0.5 0.75 1 1.25 1.5 1.75 f₁ 0 0.72424 1.2456 1.1509 0.14112 -0.14201 -0.054153 -0.012912 2 -0.0013662
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A discrete data set with Ax-0.25 steps is presented in the
table. Obtain function values at Ax=0.1 steps using;
ww.
a) Lagrange interpolating polynomial.
b) Linear splines.
c) Quadratic splines.
d) Cubicsplines.
Xi
fi
0.25
0.72424
0.5
1.2456
0.75
1.1509
Present your results in a table.
Then, plot your results. Which of these methods seem more
suitable for given data? Briefly explain why.
1
0.14112
1.25
-0.14201
1.5
-0.054153
1.75
-0.012912
Writing program codes for the solution of problems is
highly recommended (You can use any programming
language of your choice).
2 -0.0013662
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