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

Question

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

Quizplus · Accepted Answer

The Answer of 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

A Rectangle Is Bounded by the X-Axis and the Semicircle y=49−x2y = \sqrt { 49 - x ^ { 2 } }y=49−x2​

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