
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:The position vector for a particle moving on a helix is c(t) = (3 cos(t), 2 sin(t), t²).
(a) Find the speed of the particle at time to = 4ñ.
25.21
(b) Is c'(t) ever orthogonal to c(t)?
Yes, when t is a multiple of л.
Yes, when t = 0.
No
(c) Find a parametrization for the tangent line to c(t) at tô = 4ñ. (Enter your answer as a comma-separated list of equations in (x, y, z)
coordinates.)
(d) Where will this line intersect the xy-plane?
-C
(x, y, z) =
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