1.The equation of a helix is x=2 sin 2t, y=2 cos 2t, z=3t. a) Find the arc length s from
arbitrary point (2 sin 2t, 2 cos 2t, 3t) on the helix. b) Compute the arc length from (0,2,0) to (0,-2,3π/2) c) Compute the vectors T, N and B at (0,-2,3π/2) d) Compute the curvature at (0,-2,3π/2) e) Find the angle between T and the z-axis at (0,-2,3π/2) to the nearest tenth of a degree.
2.The equation of a helix is x=2 sin 2t, y=2 cos 2t, z=3t.
a) Find the arc length s
an arbitrary point (2 sin 2t, 2 cos 2t, 3t) on the helix.
b) Compute the arc length from (0,2,0) to (0,-2,3π/2)
c) Compute the vectors T, N and B at (0,-2,3π/2)
d) Compute the curvature at (0,-2,3π/2)
e) Find the angle between T and the z-axis at (0,-2,3π/2) to the nearest tenth of a degree.
3.Please check options and pictures within the file attached.
If the questions can be answered within a free demo session
hin a free demo session as I have my answers, but just want to confirm them, that would be greatly appreciated.
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