Parameterize the Curve Which Lies on the Plane 5x - $x ^ { 2 } + y ^ { 2 } = 25$

question 44

Multiple Choice

Parameterize the curve which lies on the plane 5x - 10y + z = 6 above the circle $x ^ { 2 } + y ^ { 2 } = 25$

• A) \(\vec { r } ( t ) = 5 \sin t \vec { i } + 5 \cos t \vec { j } + ( 6 - 5 \sin t + 10 \cos t ) \vec { k }\)
• B) \(\vec { r } ( t ) = 5 \sin t \vec { i } + 5 \cos t \vec { j } + ( 6 - 25 \sin t - 50 \cos t ) \vec { k }\)
• C) \(\vec { r } ( t ) = 5 \sin t \vec { i } + 5 \cos t \vec { j } + ( 6 + 25 \sin t + 25 \cos t ) \vec { k }\)
• D) \(\vec { r } ( t ) = 5 \sin t \vec { i } + 5 \cos t \vec { j } + ( 6 - 25 \sin t + 50 \cos t ) \vec { k }\)
• E) \(\vec { r } ( t ) = 5 \sin t \vec { i } + 5 \cos t \vec { j } + ( 6 - 5 \sin t + 25 \cos t ) \vec { k }\)

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