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Find the Area of the Surface z=25x2y2z = 25 - x ^ { 2 } - y ^ { 2 }

Question 28

Multiple Choice

Find the area of the surface.
The part of the surface z=25x2y2z = 25 - x ^ { 2 } - y ^ { 2 } that lies above the xyx y -plane.


A) (626626) ( \sqrt { 626 } - 626 )
B) 275(626626+1) \frac { 2 } { 75 } ( 626 \sqrt { 626 } + 1 )
C) 275π(6266261) \frac { 2 } { 75 } \pi ( 626 \sqrt { 626 } - 1 )
D) 275(626+1) \frac { 2 } { 75 } ( \sqrt { 626 } + 1 )
E) π(6266261) \pi ( 626 \sqrt { 626 } - 1 )

Correct Answer:

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