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# Vector Valued Functions - PowerPoint PPT Presentation

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

Section 1

Written by Richard Gill

Associate Professor of Mathematics

Tidewater Community College: Norfolk Campus

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

This will be a vertical ellipse centered at the origin.

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: