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Vector Valued Functions

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Vector Valued Functions

Section 1

Written by Richard Gill

Associate Professor of Mathematics

Tidewater Community College: Norfolk Campus

Example 1: Sketch the curve represented by

Solution: If x = cost and y = 3sint then

This will be a vertical ellipse centered at the origin.

Example 2: Sketch the curve represented by

Solution: Begin with a table.

Example 3: Sketch the space curve represented by the intersection of the

surfaces and Then represent the curve by a vector valued

function using the parameter x = 2sin(t).

Solution: The first surface can be represented as:

The intersection as:

The second as:

Example 3: Sketch the space curve represented by the intersection of the

surfaces and Then represent the curve by a vector valued

function using the parameter x = 2sin(t).

Solution Continued:

http://www.youtube.com/user/EducatorVids?v=-WZ6psE6qwo&feature=pyv&ad=8642525948&kw=parametric

You Tube Video on Parametric Equations

The link below takes you to a site constructed by Paul Dawkins of Lamar University. As the course progresses we would like to know whether the links that we provide are helpful. By the same token, if you find links on your own that you find helpful please share them with the class.

http://tutorial.math.lamar.edu/Classes/CalcIII/VectorFunctions.aspx#ThreeD_VecFcn_Ex2b

For comments on this presentation you may email the author Professor Richard Gill at

rgill@tcc.edu or the publisher to the VML at jarnold@tcc.edu