Use a CAS to perform the following steps. a. Plot the space curve traced out by the
Question:
Use a CAS to perform the following steps.
a. Plot the space curve traced out by the position vector r.
b. Find the components of the velocity vector dr / dt.
c. Evaluate dr / dt at the given point t0 and determine the equation of the tangent line to the curve at r(t0).
d. Plot the tangent line together with the curve over the given interval.
Transcribed Image Text:
r(t) 0 ≤t≤ 67, to = 3π/2 = (sin t - t cos t)i + (cost + t sin t)j + t²k,
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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