Find a Bound on the Error in Approximating the Definite

question 97

Essay

Find a bound on the error in approximating the definite integral Please round your answers to seven decimal places.
Using the trapezoidal rule with 6 intervals.
Using Simpson's rule with 6 intervals.

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Definitions:

Consumption

The use of goods and services by households or individuals, often regarded as the final purpose of economic activity.

Utility Function

A mathematical representation that ranks individuals' preferences for sets of goods or outcomes, where higher values imply higher preference levels.

Consumptions

The act of using goods and services by households or individuals, leading to the satisfaction of their needs and wants.

Oranges

A citrus fruit with a round shape and bright orange skin, known for its juicy, sweet and slightly acidic taste.