Which of the following parametrisations corresponds to a curve that sits on the surface of the cylinder x² + y² = 4 and contains the point (-2, 0, 5)? In all cases, tЄ [0, 10]. ○ (2 sin(πt), 2 cos(πt), t+5) O (2 cos(wt),2 sin(t),t) ○ (2 cos(πt), 2 sin(πt), t+5) O (2sin(t), 2 cos(t),t)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 42E
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Which of the following parametrisations
corresponds to a curve that sits on the
surface of the cylinder x² + y² = 4 and
contains the point (-2, 0, 5)? In all cases,
tЄ [0, 10].
○ (2 sin(πt), 2 cos(πt), t+5)
O (2 cos(wt),2 sin(t),t)
○ (2 cos(πt), 2 sin(πt), t+5)
O (2sin(t), 2 cos(t),t)
Transcribed Image Text:Which of the following parametrisations corresponds to a curve that sits on the surface of the cylinder x² + y² = 4 and contains the point (-2, 0, 5)? In all cases, tЄ [0, 10]. ○ (2 sin(πt), 2 cos(πt), t+5) O (2 cos(wt),2 sin(t),t) ○ (2 cos(πt), 2 sin(πt), t+5) O (2sin(t), 2 cos(t),t)
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