Find the Smallest N Such That the Error Estimate in the Approximation

question 26

Multiple Choice

Find the smallest n such that the error estimate in the approximation of the definite integral $\int _ { 0 } ^ { 1 } 2 \sin \left( x ^ { 2 } \right) d x$ is less than $0.00001$ using the Trapezoidal Rule. Use a graphing utility to estimate the maximum of the absolute value of the second derivative.

• A) 208
• B) 189
• C) 196
• D) 201
• E) 188

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Definitions:

Solomon Asch Experiment

A series of psychological experiments conducted by Solomon Asch, demonstrating the power of conformity in groups.

Conformity

The tendency to align one's attitudes, beliefs, and behaviors with those of a group or society.

Line Sizes

Pertains to the dimensions or measurements of length and width in drawings, designs, or any visual representations that require differentiation in thickness for emphasis or clarity.

Discrimination

In psychology, discrimination refers to the ability to perceive and respond differently to distinct stimuli.