The Values of M for Which $y = x ^ { m }$

question 7

Multiple Choice

The values of m for which $y = x ^ { m }$ is a solution of $x ^ { 2 } y ^ { \prime \prime } - 7 x y ^ { \prime } + 12 y = 0$ are

• A) \(- 3\) and 4
• B) \(- 2\) and \(- 6\)
• C) 3 and 4
• D) 2 and 6
• E) 3 and \(- 4\)

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Definitions:

Coefficient of Determination

A statistical measure, often denoted as R^2, that represents the proportion of the variance for a dependent variable that's explained by one or more independent variables in a regression model.

Slope

The rate of change in the dependent variable for a unit change in the independent variable in a linear relationship.

Regression Line

A line of best fit through a scatterplot of data points in regression analysis, showing the relationship between the independent and dependent variables.

Positive

A term often used in statistics to denote a value or outcome that is above zero or indicates the presence of a condition or characteristic.