Find the Value C Such That the Conclusion of Rolle's

question 655

Multiple Choice

Find the value c such that the conclusion of Rolle's Theorem are satisfied for f(x) = 3x² - 5 on [-2, 2].

• A) 0
• B) -1
• C) 1
• D) 0.5
• E) -0.5

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Definitions:

Hindsight Bias

The tendency to believe, after an event has occurred, that one would have predicted or expected the outcome, also known as the "knew-it-all-along" effect.

Confounding Variable

An external factor in a research study that correlates with both the dependent and independent variables, potentially skewing results.

Alcoholic Beverage

A drink that contains ethanol, commonly known as alcohol, which is a psychoactive substance.

Control Group

In experimental research, the group that does not receive the treatment or intervention being tested, serving as a baseline for comparison.