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.

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Vector Valued Functions

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Vector valued functions

Vector Valued Functions

Section 1

Written by Richard Gill

Associate Professor of Mathematics

Tidewater Community College: Norfolk Campus


Vector valued functions

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.


Vector valued functions

Example 2: Sketch the curve represented by

Solution: Begin with a table.


Vector valued functions

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:


Vector valued functions

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:


Vector valued functions

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


Vector valued functions

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

[email protected] or the publisher to the VML at [email protected]


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