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Find the Area of the Surface for the Portion of the Paraboloid

Question 34

Multiple Choice

Find the area of the surface for the portion of the paraboloid z=64x2y2z = 64 - x ^ { 2 } - y ^ { 2 } in the first Octant.


A) π24(2572571) \frac { \pi } { 24 } ( 257 \sqrt { 257 } - 1 )
B) π40(5135133) \frac { \pi } { 40 } ( 513 \sqrt { 513 } - 3 )
C) π48(65653) \frac { \pi } { 48 } ( 65 \sqrt { 65 } - 3 ) d.
D) π48(5155153) \frac { \pi } { 48 } ( 515 \sqrt { 515 } - 3 )
E) π40(65651) \frac { \pi } { 40 } ( 65 \sqrt { 65 } - 1 )

Correct Answer:

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