A Rectangle Is Bounded by the X-Axis and the Semicircle $y = \sqrt { 49 - x ^ { 2 } }$

question 17

Multiple Choice

A rectangle is bounded by the x-axis and the semicircle $y = \sqrt { 49 - x ^ { 2 } }$ (see figure) .Select the area A of the rectangle as a function of x,and determine the domain of the function.?

• A) \(A ( x ) = 2 | x | \sqrt { 49 - x ^ { 2 } }\),-7 ? x ? 7
• B) \(A ( x ) = - 2 x \sqrt { 49 - x ^ { 2 } }\) ,-7 ? x? 7
• C) \(A ( x ) = x \sqrt { 49 - x ^ { 2 } }\) ,x ? 0
• D) \(A ( x ) = 2 x \sqrt { 49 - x ^ { 2 } }\) ,x ? 0
• E) \(A ( x ) = | x | \sqrt { 49 - x ^ { 2 } }\) ,all real numbers

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Definitions:

Conduct Disorder (CD)

A mental disorder diagnosed in childhood or adolescence characterized by a longstanding pattern of disregard for rules, social norms, and the rights of others.

Attention Deficit Hyperactivity Disorder (ADHD)

A neurodevelopmental disorder characterized by patterns of inattention, hyperactivity, and impulsivity that are more frequent and severe than typically observed in individuals at a comparable level of development.

Intermittent Explosive Disorder

A behavioral disorder characterized by sudden episodes of unwarranted anger or aggression.

Family Therapy

A psychotherapy approach that seeks to improve communication and resolve conflicts within a family.