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

question 1

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 and Simpson's rule gives .
• B) The Trapezoidal rule gives and Simpson's rule gives .
• C) The Trapezoidal rule gives and Simpson's rule gives .
• D) The Trapezoidal rule gives 1.366795 and Simpson's rule gives .
• E) The Trapezoidal rule gives 1.366795 and Simpson's rule gives .

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Definitions:

Interval Reinforcement

A type of operant conditioning scheduling wherein rewards are given to an organism at variable time intervals to encourage behavior.

Partial Reinforcement

A conditioning schedule in which a behavior is reinforced only some of the time, making the behavior more resistant to extinction.

Continuous Reinforcement

This is a learning process in behavior modification where a reward follows every correct response, enhancing the likelihood of the behavior being repeated.

Negative Reinforcement

A behavioral psychology term where the removal of an undesirable outcome strengthens a specific behavior.