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

question 1

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

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