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 $z = 64 - x ^ { 2 } - y ^ { 2 }$ in the first Octant.

• A) \(\frac { \pi } { 24 } ( 257 \sqrt { 257 } - 1 )\)
• B) \(\frac { \pi } { 40 } ( 513 \sqrt { 513 } - 3 )\)
• C)\(\frac { \pi } { 48 } ( 65 \sqrt { 65 } - 3 )\) d.
• D)\(\frac { \pi } { 48 } ( 515 \sqrt { 515 } - 3 )\)
• E)\(\frac { \pi } { 40 } ( 65 \sqrt { 65 } - 1 )\)

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