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4 Mar 2022
1. Let r(t) = (t, t, cos t).
(a) (20 points) Plot r(t), t greater than or equal to 0.
(b) (20 points) Find the direction of motion when speed is maximized.
(c) (20 points) Find the normal component of acceleration when speed is
maximized.
(d) (20 points) Find all points on the curve where maximum curvature is
achieved.
1. Let r(t) = (t, t, cos t).
(a) (20 points) Plot r(t), t greater than or equal to 0.
(b) (20 points) Find the direction of motion when speed is maximized.
(c) (20 points) Find the normal component of acceleration when speed is
maximized.
(d) (20 points) Find all points on the curve where maximum curvature is
achieved.
4 Mar 2022
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