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Home  /  OpenStax Calculus, Volume 3 (Calc 3)  /  Chapter 3 · Vector-Valued Functions
Section 3.1

Vector-Valued Functions and Space Curves

Vector-valued functions and the curves they trace in space

10 lessons. Pick what you need.

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Chapter 3 · Vector-Valued Functions
3.1 3.2 3.3 3.4
Lesson

Lesson on Intro to Vector-Valued Functions

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Field Trip

Field Trip on CalcPlot3D for Space Curves

Examples

Examples of Matching r(t) to Its Graph

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Examples

Examples of Limits of Vector-Valued Functions

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Summary

Summary of L'Hopital's Rule

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Lesson

Lesson on the Basics of Tangent Lines for Space Curves

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Examples

Examples of Differentiating for Velocity, Acceleration, Speed, and Direction

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Review

Review of Derivative Rules for Advanced Calculus Students

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Examples

Examples of Finding Tangent Lines of Vector-Valued Functions

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Examples

Examples of Finding Values of t for Tangent Lines Containing a Given Point

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