$$\text { Approximate the zero of } f ( x ) = \cos ( x ) + 3 x \text { in } [ - 1,1 ] \text { to within } 0.00001 \text {. }$$

question 47

Short Answer

$$\text { Approximate the zero of } f ( x ) = \cos ( x ) + 3 x \text { in } [ - 1,1 ] \text { to within } 0.00001 \text {. }$$

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Definitions:

Correlation

A quantitative measure that indicates the extent to which two or more variables fluctuate together.

Correlation Coefficient

A numerical measure that quantifies the degree to which two variables are related, ranging from -1 (perfect negative correlation) to +1 (perfect positive correlation).

One-tailed Hypothesis

A hypothesis test that considers either a decrease or an increase in a specific direction, focusing on one end of the probability distribution.

Valid Hypothesis

A hypothesis that is well-founded, testable, and grounded in existing scientific evidence or observations.