Find a Parameterization for the Circle of Radius 4 in the Xz-Plane

question 13

Multiple Choice

Find a parameterization for the circle of radius 4 in the xz-plane, centered at the point (3, 0, -5) .Select all that apply.

• A) \(x = 3 + 4 \cos t , y = 0 , z = 5 + 4 \sin t\)
• B) \(\vec { r } = ( 3 \vec { i } - 5 \vec { k } ) + 4 ( \cos t \vec { i } + \sin t \vec { k } )\)
• C) \(x = 3 - 4 \sin t , y = 0 , z = - 5 + 4 \cos t\)
• D) \(\vec { r } = ( 5 \vec { i } - 3 \vec { k } ) + 4 ( \cos t \vec { i } + \sin t \vec { k } )\)
• E) \(x = 3 + 4 \cos t , y = 0 , z = - 5 + 4 \sin t\)

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