Give Parameterizations for a Circle of Radius 3 in 3-Space $x = 4 + 3 \cos t , y = - 2 , z = 3 \sin t , \quad 0 \leq t \leq 2 \pi$

question 20

Multiple Choice

Give parameterizations for a circle of radius 3 in 3-space perpendicular to the y-axis centered at (4, -2, 0) .

• A) \(x = 4 + 3 \cos t , y = - 2 , z = 3 \sin t , \quad 0 \leq t \leq 2 \pi\)
• B) \(x = 4 + 3 \cos t , y = - 2 , z = 3 \sin t , \quad 0 \leq t \leq \pi\)
• C) \(x = 4 + 3 \cos t , y = 3 \sin t , z = - 2 , \quad 0 \leq t \leq 2 \pi\)
• D) \(x = 4 + 3 \cos t , \quad z = 3 \sin t , \quad 0 \leq t \leq 2 \pi\)
• E) \(x = 3 \cos t , y = - 2 , z = 3 \sin t , \quad 0 \leq t \leq 2 \pi\)

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