The Rectangular Equation for the Parametric Surface And $x ( u , v ) = 2 u \cos v$

Multiple Choice

The rectangular equation for the parametric surface and $x ( u , v ) = 2 u \cos v$ is

A) $x ^ { 2 } + y ^ { 2 } = 12 z$
B) $x ^ { 2 } + y ^ { 2 } = - 12 z$
C) $x ^ { 2 } + y ^ { 2 } = 6 z$
D) $x ^ { 2 } + y ^ { 2 } = - 6 z$
E) $x ^ { 2 } + y ^ { 2 } = 3 z$