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Textbook Site for:
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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