**Unformatted text preview: **. | | 2 )] ( ) )[( ( ) ( | | ) ( | | 1 2 1 2 2 1 1 2 2 2 2 1 1 1 2 2 r r r v r v r r r v r r v r × ⋅ + ⋅ ⋅-⋅ + ⋅ = dt dA 6. Find the unit tangent vector at each point of the curve . ) 6 1 ( ) 3 2 ( ) 2 1 ( ) ( k j i r t t t t + +-+ + = What does your answer imply about the curve? Find the arc length between the points where t = 0 and t = 1. 7. Consider the curve given by . 2 ) ( k j i r t e e t t t + + =-(a) Show that this curve lies on the surfaces of the cylinders xy = 1 and . 2 / z e x = (b) Find the unit tangent vector at each point of the curve. (c) Find the arc length of the curve from t = 0 to t = 1. 8. Consider the curve given by . sin cos ) ( k j i r t t t t t t + + = (a) Show that this curve lies on the surface of a cone. (b) Find the arc length of the curve from t = 0 to t = π ....

View
Full Document

- Spring '10
- BLUMAN
- Acceleration, DT DT DT