Let r(t) = (sin 3t +2t)i + (teʻ)j+(t° + 2t)k. Find the unit tangent vector at the point where t = 0. O T(0) = 커쁠 + r뿌 + 1뿔. %3D O T(0) = fi+ + k O T(0) = i+ j+ * 14 14 O T(0) = i+ +*

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let r(t) = (sin 3t + 2t)i + (te')j + (t3 + 2t)k.
Find the unit tangent vector at the point where t = 0.
O T(0) = i+ j+
3
2
30
T(0) = i+ j +k
14
14
O T(0)
i+
2
k
/30
30
Transcribed Image Text:Let r(t) = (sin 3t + 2t)i + (te')j + (t3 + 2t)k. Find the unit tangent vector at the point where t = 0. O T(0) = i+ j+ 3 2 30 T(0) = i+ j +k 14 14 O T(0) i+ 2 k /30 30
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