Find the Surface Area of the Surface S $S$ Is the Intersection of the Plane

question 95

Multiple Choice

Find the surface area of the surface S.
- $S$ is the intersection of the plane $3 x + 4 y + 12 z = 7$ and the cylinder with sides $y = 4 x ^ { 2 }$ and $y = 8 - 4 x ^ { 2 }$ .

• A) \(\frac { 13 } { 18 }\)
• B) \(\frac { 104 } { 3 }\)
• C) \(\frac { 13 } { 9 }\)
• D) \(\frac { 104 } { 9 }\)

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