Number 3 please Case 3: Newton divided difference polynomial and Numerical Differantion & Integration. 2 3 4 1.4 1.6 1.8 2.0 2.2 2.4 2.6 yi 2.151 2.577 3.107 4.015 5.105 6.314 7.015 1. Develop a MATLAB code of Newton divided difference to estimate the interpolating polynomial of the values given in the table above for x and y. 2. Develop a MATLAB code of numerical differention to estimate y'(1.8) and y'(1.8) as accurate as possible. -2.6 Develop a MATLAB code to estimatef f(x)dx by using Simpson's 1/3, Simpson's 3/8 and Trapezodial Rule with end correction. 4. Plot the interpolating polynomial in part 1.

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Help please , solve number 3.
 
and I'd be thankful if you do the whole question.

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Number 3 please
Case 3: Newton divided difference polynomial and Numerical Differantion &
Integration.
3
4
2.2
6
1.4
1.6
1.8
2.0
2.4
2.6
yi
2.151
2.577
3.107
4.015
5.105
6.314
7.015
1. Develop a MATLAB code of Newton divided difference to estimate the interpolating
polynomial of the values given in the table above for x and y.
2. Develop a MATLAB code of numerical differention to estimate y'(1.8) and y'(1.8) as
accurate as possible.
3 Develop a MATLAB code to estimate S f(x)dx by using Simpson's 1/3, Simpson's
3/8 and Trapezodial Rule with end correction.
4. Plot the interpolating polynomial in part 1.
Number 3 please
Transcribed Image Text:Number 3 please Case 3: Newton divided difference polynomial and Numerical Differantion & Integration. 3 4 2.2 6 1.4 1.6 1.8 2.0 2.4 2.6 yi 2.151 2.577 3.107 4.015 5.105 6.314 7.015 1. Develop a MATLAB code of Newton divided difference to estimate the interpolating polynomial of the values given in the table above for x and y. 2. Develop a MATLAB code of numerical differention to estimate y'(1.8) and y'(1.8) as accurate as possible. 3 Develop a MATLAB code to estimate S f(x)dx by using Simpson's 1/3, Simpson's 3/8 and Trapezodial Rule with end correction. 4. Plot the interpolating polynomial in part 1. Number 3 please
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