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:

Symbolic Racism

A form of racism expressed subtly in the guise of fairness and opposition to policies that could promote equality.

Kernel of Truth Hypothesis

The notion that stereotypes, while significantly exaggerated, may originate from some element of actual experience or reality.

Stereotypes

Simplified and generalized beliefs or notions held about individuals or groups, often leading to prejudgments without factual basis.

Institutional Discrimination

Systemic policies or practices within organizations or societies that disadvantage certain groups.