Provide an Appropriate Response $y = \frac { 27 } { x ^ { 2 } + 2 }$

question 157

Multiple Choice

Provide an appropriate response.
-Find an equation for the tangent to the curve $y = \frac { 27 } { x ^ { 2 } + 2 }$ at the point $( 1,9 )$ .

• A) \(y = 6 x + 3\)
• B) \(y = - 3 x + 12\)
• C) \(y = - 6\)
• D) \(y = - 6 x + 15\)

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Definitions:

Main Effect

The direct influence of an independent variable on a dependent variable in an experimental study, ignoring the effects of other variables.

Marginal Means

The average value of a variable at each level of another variable, often used in the analysis of variance.

Main Effect

The direct impact of an independent variable on a dependent variable, ignoring other potential influencing factors.

Significant

In statistics, it refers to results that are unlikely to have occurred by chance alone, according to a predefined threshold of probability (the significance level).