(a) Given r(t) = 't+1' cos t , , e'), find the Domain of r(t) and lim, r(t). %3D t-n/2

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[M R N] Concept 5: Vector-Valued Functions
cost
(a) Given r(t) =
-, et), find the Domain of r(t) and lim_ r(t).
t-n/2
t+1
t
(b) Describe the following in R’. Write a complete sentence for each.
q(t) = (t, 1,–t) for –5 < t < 5
p(t)
(0,2 cos t, 2 sin t) for 0 <t < 2n
r(t) = (5 sin t , 2t, 5cos t) for 0 <t< 2n
Transcribed Image Text:[M R N] Concept 5: Vector-Valued Functions cost (a) Given r(t) = -, et), find the Domain of r(t) and lim_ r(t). t-n/2 t+1 t (b) Describe the following in R’. Write a complete sentence for each. q(t) = (t, 1,–t) for –5 < t < 5 p(t) (0,2 cos t, 2 sin t) for 0 <t < 2n r(t) = (5 sin t , 2t, 5cos t) for 0 <t< 2n
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