Reference no: EM131004375
1. Find the curvature of the curve
x = 3 cos (t), y = 3 sin (t), z = 4t.
at t = π/6 by calculating ||T'(s)||.
2. Given a position vector
r(t) =< e2t, cos t, sin t2 >
Find the velocity and acceleration vectors and the speed at time t.
3. Find the equation of the plane that passes through the three points
P = (2,0,0), Q = (4,2,0), R= (0,1,2).
4. Find the arc length of the curve given by
r(t) = a cos (ωt) i + a sin(ωt)j.
between t = 0 and t = π/3.
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