Use cubic lagrange polynomials to perform interpolations

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Reference no: EM132211493

Question :

Write a program that uses cubic Lagrange polynomials to perform interpolations.

The program should include a function that takes two vectors (x and f(x)) and the value x that you want to evaluate as input parameters and finds the interval within which the unknown lies.

After ths is done, the program applies the Lagrange interpolation technique to determine the proper f(x) value.

Note that this is convenient for cases when the unknown is located in the middle of the four points necessary to generate the cubic.

For the first and last intervals, a quadratic Lagrange polynomial is necessary.

Also, your program needs to detect when the user requests a value outside the range of x's.

For such cases the program should display an error message. Test your program using this data

T, degree F	700	720	740	760	780
v, ft^3/Ibm	o.o977	0.12184	0.14060	0.15509	0.16643

Reference no: EM132211493

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