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Sketching a Curve by Eliminating the Parameter A pair of parametric equations is given. (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter. 5. x = t 2 , y = t − 2, 2 ≤ t ≤ 4

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Precalculus: Mathematics for Calcu...

7th Edition
James Stewart + 2 others
Publisher: Brooks Cole
ISBN: 9781305071759

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Chapter
Section
BuyFindarrow_forward

Precalculus: Mathematics for Calcu...

7th Edition
James Stewart + 2 others
Publisher: Brooks Cole
ISBN: 9781305071759
Chapter 8.4, Problem 5E
Textbook Problem
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Sketching a Curve by Eliminating the Parameter A pair of parametric equations is given. (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.

5. x = t2, y = t − 2, 2 ≤ t ≤ 4

(a)

To determine

To sketch: The curve of the parametric equation and indicate the direction of the curve formed with the changing values of t .

Explanation of Solution

The two parametric equations are x=t2 and y=t2 .

For every value of t , we get x , y coordinates correspondingly.

Below is the table for each values of t and their corresponding values of x and y .

t x y
0 0 2
1 1

(b)

To determine

To find: The rectangular coordinate equation of the curve of the parametric equation by eliminating the parameter.

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Chapter 8 Solutions

Precalculus: Mathematics for Calculus (Standalone Book)
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