3. Consider the closed Newton-Cotes formula with n = 4 (Boole's rule): b a I(f) 14,closed (f) = 90 [7f (a) +32f(a + h) + 12f(a + 2h) + 32f(a+3h) + 7ƒ(b)] where h = (ba)/4. (a) Find the degree of precision. (b) Derive the error term associated with this quadrature rule. [Hint: Use the theorem for the error term from the notes.] (c) Approximate the value of the definite integral 2 d using this rule. X

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