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Calculus III 13.1 Vector-Valued Functions

Calculus III 13.1 Vector-Valued Functions. Friday September 23, 2016 Concordia College. Example 1: Airplane Flight Path, Vectors Indicating Position. Example 1: Airplane Flight Path, Vectors Indicating Position. Definition: Vector-Valued Function. Example 2. Example 2. Example 2.

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Calculus III 13.1 Vector-Valued Functions

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  1. Calculus III13.1 Vector-Valued Functions Friday September 23, 2016 Concordia College

  2. Example 1: Airplane Flight Path,Vectors Indicating Position

  3. Example 1: Airplane Flight Path,Vectors Indicating Position

  4. Definition:Vector-Valued Function

  5. Example 2

  6. Example 2

  7. Example 2

  8. Example 3

  9. Example 3

  10. Example 4

  11. Example 4

  12. Example 5: Matching

  13. Example 6Intersection of Cone and Plane

  14. Example 7 Parametrize the intersection of the plane with the sphere

  15. Example 7 Parametrize the intersection of the plane with the sphere

  16. Example8 Describe the curve and its projections onto the xy-plane and the yz-plane. Find a circular paraboloid on which the curve lies.

  17. Example 8

  18. Example9 Show that the graph of Lies on both a circular cylinder and a plane. What shape is it? Find the length of the major and minor axes.

  19. Example 9: Picture

  20. 10. Particle Collision

  21. 11. Limits

  22. 12. Example

  23. 13. Continuity

  24. 14. Theorem on Continuity

  25. 15. Example

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