Find Parametric Equations for the Cylinder $49 x ^ { 2 } + 11 y ^ { 2 } = 539 , - 7 \leq z \leq 11$

Multiple Choice

Find parametric equations for the cylinder $49 x ^ { 2 } + 11 y ^ { 2 } = 539 , - 7 \leq z \leq 11$

A) $x = 11 \cos t , y = 7 \sin t , z = s , 0 \leq t \leq 2 \pi , - 7 \leq s \leq 11$
B) $$x = \sqrt { 11 } \cos t _ { 1 } y = 7 \sin t _ { 1 } \quad z = t _ { 1 } \quad 0 \leq t \leq 2 \pi _ { 1 } - 7 \leq s \leq 11$$
C) $$x = \sqrt { 7 } \cos t _ { 1 } y = 11 \sin t _ { 1 } \quad z = s , \quad 0 \leq t \leq 2 \pi , - 7 \leq s \leq 11$$
D) $x=\sqrt{11} \cos t, y=7 \sin t, \quad z=s, \quad 0 \leq t \leq \pi,-7 \leq s \leq 11$
E) $x=\sqrt{11} \cos t, y=7 \sin t, \quad z=s, \quad 0 \leq t \leq 2 \pi\,-7 \leq s \leq 11$