The definition of the given term.

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1, Problem 13RCC

(a)

To determine

To find: The definition of the given term.

Expert Solution

The parametric curve is defined.

Explanation of Solution

Given:

The given term is parametric curve.

Calculation:

Consider the functions for t are x and y , where t is the parameter and the parametric equation are x=f(t) and y=g(t) .

For every value of t there is a point (x,y) , this points can be plotted on the coordinate plane and as the value of t changes the value of the points also changes from the curve C known as the parametric curve.

(b)

To determine

To find: The way in which the parametric curve is obtained.

Expert Solution

The parametric curve is obtained by joining the parametric points.

Explanation of Solution

The value of the parameter t is changed to obtain the points (x,y) that are plotted on the parametric curve. When all the points are joined the parametric curve is obtained.

(c)

To determine

Expert Solution