Working with parametric equations Consider | Ch 10.1 - 13E

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

Problem 13E 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 13E

Working with parametric equations Consider the following parametric equations.

a. Eliminate the parameter to obtain an equation in x and y.

b. Describe the curve and indicate the positive orientation.

x = t − 1, y = t3; −4 ≤ t ≤ 4

Step-by-Step Solution:

Solution 13E

Step 1:

Eliminate  the parameter to obtain an equation in x and y .

 

Given , x = t -1 , y = ;  -4

That is ,  x+1  = t , then y =  , since x+1= t.

           y =  

   

          = 0

Therefore , an equation in x and  y is ;  = 0

Step 2 of 2

Chapter 10.1, Problem 13E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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