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

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 $0.0000$ .