Question

4. Complete the following definition: Parametric equations are

Use the results of Exercise 3 to analyze the direction of motion for the parametric curves given by the equations in Exercises 5-8.

Short answer

The blank is filled with "parameterized functions of one or more independent variables."

Step-by-step solution

Step: 1 Given information

Consider the motion of the parametric curves defined by the equations.

Step: 2 Explanation

Parametric equations are functions of one or more independent variables, called parameters.

Parametric equations are a set of equations that express a set of quantities as explicit functions of a number of independent variables known as parameters.

Parametric equations are used as a way to define relationships between equations using parameters.

Ex:$x=\cos t,y=\sin t$equations form a parametric representation of the unit circle

"Functions of one or more independent variables called parameters" fill in the blank.