consider the following 3 statements about parametric equations: a. parametric equations are useful because they often describe curves in a more natural way than cartesian coordinates. b. the same curve can have several different parametric representation, thus parametric representation is not unique. c. parametric equations often describe curves that are not functions. a. only a is true. b. a and c are true. c. a and b are true. d. all three are true.



Answer :

All three statement parametric equation are true so option D. all three are true is the correct option of the given statement.

What is the formula for a parametric equation?

In parametric form, the x and y coordinates are defined as functions of t, which represent angles in this form: x = r cos t and y = r sin t, and so map the whole circle. These parametric equations are known as polar equations.

What are some instances when parametric equations are used?

The position of a point on a Ferris wheel, for instance, can be represented graphically using parametric equations. The parametric equations can be used to model every aspect, including height above the ground, spin direction, and speed.

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