Question

Sketch the graph of each curve by finding surfaces on which they lie.

(A) <t,tcos(t),tsin(t)>

(B) <cos(t),sin(t),sin(2t)>

(C) <t,cos(t),sin(t)>

Please Sketch in a 3D graph.

Answer #1

1. a) Get the arc length of the curve.
r(t)= (cos(t) + tsin(t), sin(t) - tcos(t), √3/2 t^2) in
the Interval 1 ≤ t ≤ 4
b) Get the curvature of r(t) = (e^2t sen(t), e^2t, e^2t cos
(t))

r(t)=[cos(t),sin(t),cos(3t)]
r(t)=[tcos(t),tsin(t),t)
r(t)=[cos(t),sin(t),t2]
r(t)=[t2cos(t),t2sin(t),t]
r(t)=[cos(t),t,sin(t)]
Sketch the graphs.

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