Find Parametric Equations for the Cylinder $49 x ^ { 2 } + 5 y ^ { 2 } = 245 , - 7 \leq z \leq 5$

Multiple Choice

Find parametric equations for the cylinder $49 x ^ { 2 } + 5 y ^ { 2 } = 245 , - 7 \leq z \leq 5$

A) $x = 5 \cos t , y = 7 \sin t , z = s , 0 \leq t \leq 2 \pi , - 7 \leq s \leq 5$
B) $x = \sqrt { 5 } \cos t _ { 1 } y = 7 \sin t _ { 1 } \quad z = t _ { 1 } , 0 \leq t \leq 2 \pi , - 7 \leq s \leq 5$
C) $x = \sqrt { 7 } \cos t _ { 1 } y = 5 \sin t _ { 1 } \quad z = s , \quad 0 \leq t \leq 2 \pi , - 7 \leq s \leq 5$
D) $x = \sqrt { 5 } \cos t _ { 1 } y = 7 \sin t , \quad z = s , \quad 0 \leq t \leq \pi , - 7 \leq s \leq 5 .$
E) $x = \sqrt { 5 } \cos t _ { 1 } y = 7 \sin t _ { 1 } \quad z = s , \quad 0 \leq t \leq 2 \pi , - 7 \leq s \leq 5$