Unformatted text preview: , 0). (a) (5 pts) Find the cosine of the angle between the two tangent vectors at the self-intersection (0 , 0). (b) (10 pts) Find the arc-length 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...
View Full Document
- Spring '08
- Math, pts, Duke Community Standard