The Table Below Contains Numerical Data for a Definite Integral

question 73

Multiple Choice

The table below contains numerical data for a definite integral approximated by the left-hand, midpoint, trapezoid, and Simpson's rule methods.Which method was used in the fourth column? $\begin{array}{ccccc}N & & & & \\1 & 2.4737 & -44.1930 & 0.4737 & -67.5263 \\3 & -39.6662 & -45.5098 & -40.3329 & -48.4316 \\9 & -44.8687 & -45.5261 & -45.0909 & -45.8548 \\27 & -45.45315 & -45.52630 & -45.62722 & -45.5629 \\81 & -45.518171 & -45.526300 & -45.572862 & -45.530364\end{array}$

• A)The left-hand rule
• B)The midpoint rule
• C)Simpson's rule
• D)The trapezoid rule

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Definitions:

Appropriate Level

A suitable or optimal degree or magnitude for a particular situation or parameter, often used in finance and operations.

Cash On Hand

Funds that a company or individual has available in cash form, not invested or deposited in financial institutions.

Zero-balance Account

A type of bank account that maintains a balance of zero by automatically transferring funds from a master account in amounts only large enough to cover checks presented.

Surplus Cash

Excess cash that a company holds over and above the minimum operational funds required, often used for investment, dividends, or buybacks.