Suppose We Wish to Estimate the Area Under the Curve $\frac { 5 } { 16 }$

question 12

Multiple Choice

Suppose we wish to estimate the area under the curve y = x between x = 1 and x = 2 using 2 subintervals of equal length. What is the largest value the approximation could have?

• A) \(\frac { 5 } { 16 }\)
• B)0
• C) \(\frac { 1 } { 4 }\)
• D) \(\frac { 3 } { 8 }\)
• E) \(\frac { 5 } { 4 }\)
• F) \(\frac { 7 } { 4 }\)
• G) \(\frac { 1 } { 2 }\)
• H) \(\frac { 3 } { 16 }\)

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Definitions:

Personality Stability

The concept that individual personality traits tend to remain consistent over time.

Trait Scores

Quantitative measures of specific personality attributes that individuals possess, usually obtained through standardized personality tests.

Correlated

A statistical relationship between two or more variables where a change in one is associated with a change in another.

Adaptability

The ability to adjust to new conditions or environments, showing flexibility in facing changes or challenges.