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 Variable

An independent variable is the condition or factor that is manipulated by a researcher to observe its effects on the dependent variable.

Dependent Variable

The element in a study that is anticipated to vary as a result of adjustments made to the independent variable.

Scatterplot

A type of graph that displays values for typically two variables for a set of data using Cartesian coordinates.

Linear

Pertaining to or resembling a line; in mathematics and statistics, a relationship is linear if it can be graphically represented as a straight line.