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

question 8

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 1.3973 and Simpson's rule gives .
• C) The Trapezoidal rule gives and Simpson's rule gives .
• D) The Trapezoidal rule gives 1.3973 and Simpson's rule gives .
• E) The Trapezoidal rule gives and Simpson's rule gives .

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Definitions:

Dopamine

A neurotransmitter involved in controlling movement and posture, moderating mood, and affecting motivation and reward mechanisms in the brain.

Schizophrenia

A long-term mental disorder involving a breakdown in the relation between thought, emotion, and behavior, leading to faulty perception, inappropriate actions and feelings, withdrawal from reality and personal relationships into fantasy and delusion, and a sense of mental fragmentation.

Receptor Sites

Specific locations on the surface of a cell or within a cell that are sensitive to neurotransmitters or hormones.

Amygdala

A region of the brain involved in experiencing emotions, particularly fear and pleasure.