Using Cylindrical Coordinates, Find Parametric Equations for the Cylinder $x ^ { 2 } + y ^ { 2 } = 16$

question 61

Multiple Choice

Using cylindrical coordinates, find parametric equations for the cylinder $x ^ { 2 } + y ^ { 2 } = 16$ Select all that apply.

• A) \(x = 4 \cos \theta , y = 4 \sin \theta , z = z , 0 \leq \theta \leq 2 \pi , - \infty < z < \infty\)
• B) \(x = 4 \cos \theta , y = 4 \sin \theta , 0 \leq \theta \leq 2 \pi , - \infty < z < \infty\)
• C) \(x = 16 \cos \theta , y = 16 \sin \theta , z = z , \quad 0 \leq \theta \leq 2 \pi , - \infty < z < \infty\)
• D) \(x = 4 \sin \theta , y = 4 \cos \theta , z = z , 0 \leq \theta \leq 2 \pi , - \infty < z < \infty\)
• E) \(x = 16 \cos \theta , y = 16 \sin \theta , 0 \leq \theta \leq 2 \pi , - \infty < z < \infty\)

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