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Multivariable Calculus

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Area of a Paraboloid

MVCALC-1BRYWA

Let the surface $S$ be part of the paraboloid $z=6-x^2-y^2$ above the $xy$-plane.

Find the surface area of $S$.

A

$\cfrac{62\pi}{3}$

B

$24\pi$

C

$25\ln \pi$

D

$\cfrac{5\pi\sqrt{2}}{3}$

E

$16\sqrt{3}$