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

question 5

Multiple Choice

Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using 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 0.7100 and Simpson's rule gives .
• B) The Trapezoidal rule gives and Simpson's rule gives .
• C) The Trapezoidal rule gives 0.7100 and Simpson's rule gives .
• D) The Trapezoidal rule gives and Simpson's rule gives .
• E) The Trapezoidal rule gives and Simpson's rule gives .

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Definitions:

Percentiles

A measure that indicates the value below which a given percentage of observations in a group of observations falls.

Stanines

Derived from the term “standard nines,” this is a standardized score frequently used in schools. Often used with achievement tests, stanines have a mean of 5 and a standard deviation of 2, and range from 1 to 9.

T-scores

Standardized scores with a mean of 50 and a standard deviation of 10, used to compare an individual's score against a normative sample.

Grade Equivalents

A metric used in education to compare a student's test score with the average scores of students in other grades.