Apply the Trapezoidal Rule and Simpson's Rule to Approximate the Value

question 2

Multiple Choice

Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using 10 subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. ​ ​

• A) The Trapezoidal rule gives 13.7000 and Simpson's rule gives 14.3588.
• B) The Trapezoidal rule gives 13.7000 and Simpson's rule gives 13.6667.
• C) The Trapezoidal rule gives -13.6750 and Simpson's rule gives -13.6667.
• D) The Trapezoidal rule gives 13.6750 and Simpson's rule gives 13.6667.
• E) The Trapezoidal rule gives 13.6750 and Simpson's rule gives 14.3588.

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Definitions:

Correlation Coefficient

A statistical measure that indicates the extent to which two variables change together.

Correlational Study

A type of research method that examines the relationship between two or more variables without determining causality.

Variables

elements, features, or factors that are liable to vary or change within a research or experimental design.

Psychological Research

The systematic investigation into the mind and behavior through controlled experiments, observations, and analysis.