Estimate the Error in Using (A) the Trapezoidal Rule and (B)

question 151

Multiple Choice

Estimate the error in using (a) the Trapezoidal Rule and (b) Simpson's Rule with $n = 8$ when approximating the following integral.
$$\int _ { 4 } ^ { 6 } ( 6 z + 3 ) d z$$

• A) The error for the Trapezoidal Rule is \(0.0051\) and for Simpson's Rule it is \(0.0013\).
• B) The error for the Trapezoidal Rule is \(0.0000\) and for Simpson's Rule it is \(0.0200\).
• C) The error for the Trapezoidal Rule is \(0.0204\) and for Simpson's Rule it is \(0.0200\).
• D) The error for the Trapezoidal Rule is \(0.0204\) and for Simpson's Rule it is \(0.0000\).
• E) The error for the Trapezoidal Rule is \(0.0000\) and for Simpson's Rule it is \(0.0000\).

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