The parametric equations of a curve is x = = 3 sint, y = 3 cost and z = 4. (a) Sketch the curve r(t) for 0 ≤ t ≤ 2. (b) Find the followings when t = 0: (i) The unit tangent vector, T. (ii) The principal unit normal, N.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. The parametric equations of a curve is x = 3 sint, y = 3 cost and z= = 4.
(a) Sketch the curve r(t) for 0 ≤ t ≤ 2π.
(b) Find the followings when t = 0:
(i) The unit tangent vector, T.
(ii) The principal unit normal, N.
Transcribed Image Text:2. The parametric equations of a curve is x = 3 sint, y = 3 cost and z= = 4. (a) Sketch the curve r(t) for 0 ≤ t ≤ 2π. (b) Find the followings when t = 0: (i) The unit tangent vector, T. (ii) The principal unit normal, N.
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