Calculate (a) the trapezoidal approximation and (b) Simpson's approximation to $\int _ { a } ^ { b } f ( x ) d x$ where f is the tabulated function. $$\begin{array} { l r l l l l l l }
\mathrm { x } & \mathrm { a } = 1.0 & 1.33 & 1.67 & 2.0 & 2.33 & 2.67 & 3.0 = \mathrm { b } \
\hline \mathrm { f } ( \mathrm { x } ) & 5.2 & 6.9 & 1.4 & 0.06 & 2.3 & 0.01 & 1.5 \
\hline
\end{array}$$ Enter your answers in that order as just unlabeled real numbers rounded off to two decimal places, separated by a comma.

Question

Calculate (a) the trapezoidal approximation and (b) Simpson's approximation to $\int _ { a } ^ { b } f ( x ) d x$ where f is the tabulated function. $$\begin{array} { l r l l l l l l } 
\mathrm { x } & \mathrm { a } = 1.0 & 1.33 & 1.67 & 2.0 & 2.33 & 2.67 & 3.0 = \mathrm { b } \
\hline \mathrm { f } ( \mathrm { x } ) & 5.2 & 6.9 & 1.4 & 0.06 & 2.3 & 0.01 & 1.5 \
\hline
\end{array}$$ Enter your answers in that order as just unlabeled real numbers rounded off to two decimal places, separated by a comma.

Quizplus · Accepted Answer

The Answer of Calculate (a) the trapezoidal approximation and (b) Simpson's approximation to $\int _ { a } ^ { b } f ( x ) d x$ where f is the tabulated function. $$\begin{array} { l r l l l l l l } 
\mathrm { x } & \mathrm { a } = 1.0 & 1.33 & 1.67 & 2.0 & 2.33 & 2.67 & 3.0 = \mathrm { b } \
\hline \mathrm { f } ( \mathrm { x } ) & 5.2 & 6.9 & 1.4 & 0.06 & 2.3 & 0.01 & 1.5 \
\hline
\end{array}$$ Enter your answers in that order as just unlabeled real numbers rounded off to two decimal places, separated by a comma.

Calculate (A) the Trapezoidal Approximation and (B) Simpson's Approximation To \int