Find the Area of the Part of the Cone $4 x ^ { 2 } + 4 y ^ { 2 } = z ^ { 2 }$

question 11

Multiple Choice

Find the area of the part of the cone $4 x ^ { 2 } + 4 y ^ { 2 } = z ^ { 2 }$ that is above the region in the first quadrant bounded by the line y = x and the parabola $y = x ^ { 2 }$ .

• A) \(\frac { 5 } { 6 }\)
• B) \(\frac { 5 } { 3 }\)
• C)\(\frac { 2 } { 3 }\)
• D)2
• E) \(\frac { \sqrt { 5 } } { 6 }\)
• F) \(\frac { \sqrt { 5 } } { 3 }\)

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