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Home  /  Thomas' Calculus: Early Transcendentals (15e)  /  Chapter 13 · Vector-Valued Functions and Motion in Space
Section 13.1

Curves in Space and Their Tangents

Vector-valued functions, limits, derivatives, and tangent vectors

10 lessons. Pick what you need.

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Chapter 13 · Vector-Valued Functions and Motion in Space
Lesson

Lesson on Intro to Vector-Valued Functions

Field Trip

Field Trip on CalcPlot3D for Space Curves

Examples

Examples of Matching r(t) to Its Graph

Examples

Examples of Limits of Vector-Valued Functions

Summary

Summary of L'Hopital's Rule

Lesson

Lesson on the Basics of Tangent Lines for Space Curves

Examples

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

Review

Review of Derivative Rules for Advanced Calculus Students

Examples

Examples of Finding Tangent Lines of Vector-Valued Functions

Examples

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