The purpose of this exercise is to use the idea of precision to derive the error formula for Simpson’s rule. (a) Using the formulas in Table 6.5, show that Simpson’s rule has precision 3. (b) Use ( )...

The purpose of this exercise is to use the idea of precision to derive the error formula for Simpson’s rule.

(a) Using the formulas in Table 6.5, show that Simpson’s rule has precision 3.

(b) Use
() =

⁴
to derive the formula for the error for Simpson’s rule.