Find the Area of the Surface Given By $f ( x , y ) = 5 - x ^ { 2 }$

question 58

Multiple Choice

Find the area of the surface given by $f ( x , y ) = 5 - x ^ { 2 }$
$R$ : rectangle with vertices $( 0,0 ) , ( 5,0 ) , ( 5,5 ) , ( 0,5 )$

• A) \(\frac { 5 } { 4 } ( 10 \sqrt { 101 } - \ln ( 10 + \sqrt { 101 } ) )\)
• B) \(\frac { 5 } { 4 } ( 10 \sqrt { 101 } + \ln ( 10 - \sqrt { 101 } ) )\)
• C) \(5 \left( 5 \sqrt { 101 } + \frac { 1 } { 2 } \ln ( 5 + \sqrt { 101 } ) \right)\)
• D) \(5 \left( 5 \sqrt { 101 } - \frac { 1 } { 2 } \ln ( 5 + \sqrt { 101 } ) \right)\)
• E) \(\frac { 5 } { 4 } ( 10 \sqrt { 101 } + \ln ( 10 + \sqrt { 101 } ) )\)

Awareness of the mechanisms available to control or filter media content for children.

Understand the impact of media representation on beauty standards and self-image, especially among girls.

Grasp the influence of media conglomerates on the framing and agenda-setting of news and information.

Critically analyze the role of new media technologies in disrupting traditional media forms and representations.