Unformatted text preview: , 0). (a) (5 pts) Find the cosine of the angle between the two tangent vectors at the selfintersection (0 , 0). (b) (10 pts) Find the arclength of the loop created. (c) (10 pts) Find an expression for the curvature κ . (d) (5 pts) Compute lim t →∞ κ . (3) (5 pts) In triangle ABC , let P be the midpoint of side BC . Show if P is equidistant from vertices A, B, C , then the angle at A is a right angle. Important: Please copy and sign the following Reaﬃrmation: I have adhered to the Duke Community Standard in completing this assignment. 1...
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 Spring '08
 HAIN
 Math, pts, Duke Community Standard

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