Solve the Problem $y = \frac { 3 } { \sqrt { 81 - 9 x ^ { 2 } } } , x = 0 , y = 0$

question 151

Multiple Choice

Solve the problem.
-Find the area bounded by $y = \frac { 3 } { \sqrt { 81 - 9 x ^ { 2 } } } , x = 0 , y = 0$ , and $x = 2$ .

• A) \(\sin ^ { - 1 } \left( \frac { 2 } { 3 } \right)\)
• B) \(\frac { 1 } { 3 } \tan ^ { - 1 } \left( \frac { 2 } { 9 } \right)\)
• C) \(\frac { 1 } { 9 } \sin ^ { - 1 } \left( \frac { 2 } { 3 } \right)\)
• D) \(\frac { 1 } { 9 } \tan ^ { - 1 } \left( \frac { 2 } { 3 } \right)\)

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Definitions:

Independent Variables

Variables that are manipulated or categorically varied by researchers in an experiment to determine their effect on dependent variables.

Multicollinearity

Refers to a situation in statistics where independent variables in a regression model are highly correlated, potentially leading to difficulties in estimating the relationship between each independent variable and the dependent variable.

Independent Variables

Variables in an equation or model that are assumed to influence or cause changes in dependent variables.

Regression Model

A statistical tool used to predict the value of a dependent variable based on the value(s) of one or more independent variables.