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Consider the ellipse r(t) =〈3 cos(t),4 sin(t)〉, for 0 ≤ t ≤ 2π. (a) At what...

Consider the ellipse r(t) =〈3 cos(t),4 sin(t)〉, for 0 ≤ t ≤ 2π.

(a) At what positions does ‖r′(t)‖ have maximum and minimum values, that is, where is a particle moving along the ellipse moving the fastest and slowest? Your answer will be vectors.

(b) At what positions does the curvature have maximum and minimum values? Your answer will be vectors.

Math   Calculus   
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