Find the Surface Area of the Surface S $\mathrm { S }$

question 157

Multiple Choice

Find the surface area of the surface S.
- $\mathrm { S }$ is the paraboloid $\mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } - \mathrm { z } = 0$ below the plane $\mathrm { z } = 2$ .

• A) \(\frac { 13 } { 6 } \pi\)
• B) \(\frac { 9 } { 2 } \pi\)
• C) \(\frac { 13 } { 3 } \pi\)
• D) \(\frac { 13 } { 2 } \pi\)

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