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Find C1, Cz and cz in the following quadrature formula:L")dz Cf'(-1) C2f' (0) + Caf(l).s0 that is exact for all polynomials of the largest degree pos...

Question

Find C1, Cz and cz in the following quadrature formula:L")dz Cf'(-1) C2f' (0) + Caf(l).s0 that is exact for all polynomials of the largest degree possible. What is the degree of precision for this formula?

Find C1, Cz and cz in the following quadrature formula: L")dz Cf'(-1) C2f' (0) + Caf(l). s0 that is exact for all polynomials of the largest degree possible. What is the degree of precision for this formula?



Answers

$$
\begin{array}{l}{\text { Accuracy of a Taylor Polynomial Describe }} \\ {\text { the accuracy of the } n \text { th-degree Taylor polynomial of } f} \\ {\text { centered at } c \text { as the distance between } c \text { and } x \text { increases. }}\end{array}
$$

We need to describe the accuracy of the inst agree taylor polynomial at s. Internet see as the distance between C. And X increases, so as the distance between, in fact increases The 10th degree of polynomial centered at sea, The accuracy decreases because you were getting further and further away from the center of the taylor polynomial. But as you increase end, so if you were to find the fourth degree taylor polynomial and the 20th degree taylor paul, I don't know. For example, the higher the end for the taylor polynomial to hire your accuracy, so it will be better and better approximation as you increase end.


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