A Parameterization Of $x ^ { 2 } + 4 y ^ { 2 } = 16$

Multiple Choice

A parameterization of $x ^ { 2 } + 4 y ^ { 2 } = 16$ is

A) $x ( u , v ) = 2 \cos u , y ( u , v ) = 4 \sin u$ $z ( u , v ) = v$
B) $x ( u , v ) = 4 \cos u , y ( u , v ) = 2 \sin u$ $z ( u , v ) = v$
C) $x ( u , v ) = 4 \cos u , y ( u , v ) = \sin u$ $z ( u , v ) = 2 v$
D) $x ( u , v ) = 2 \cos u , y ( u , v ) = 4 \sin u$ $z ( u , v ) = 2 v$
E) $x ( u , v ) = \cos u , y ( u , v ) = 2 \sin u$ $z ( u , v ) = 4 v$