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Calculus with Analytic Geometry
Calculus of a Single Variable
Multivariable Calculus, Seventh Edition Ron Larson - The Pennsylvania State University, The Behrend
College
Robert P. Hostetler - The Pennsylvania State University, The Behrend College
Bruce H. Edwards - University of Florida |  |  |
 |  | Chapter Summary
Chapter 11: Vector-Valued Functions
11.1
- Analyze and sketch a space curve given by a vector-valued function.
- Extend the concepts of limits and continuity to vector-valued functions.
11.2
- Differentiate a vector-valued function.
- Integrate a vector-valued function.
11.3
- Describe the velocity and acceleration associated with a vector-valued function.
- Use a vector-valued function to analyze projectile motion.
11.4
- Find a unit tangent vector at a point on a space curve.
- Find the tangential and normal components of acceleration.
11.5
- Find the arc length of a space curve.
- Use the arc length parameter to describe a plane curve or space curve.
- Find the curvature of a curve at a point on the curve.
- Use a vector-valued function to find frictional force.
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