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Give a set of parametric equations that describes a full

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 3E Chapter 10.1

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 3E

Problem 3E

Give a set of parametric equations that describes a full circle of radius R, where the parameter varies over the interval [0, 10].

Step-by-Step Solution:

Solution 3E

Step 1:

A circle can be defined as the locus of all points that satisfy the equations

  and  

where x,y are the coordinates of any point on the circle, r is the radius of the circle and

t is the parameter - the angle suspended by the point at the circle's center.

Therefore the parametric equation of a circle can be written as

 where

Step 2 of 2

Chapter 10.1, Problem 3E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Give a set of parametric equations that describes a full