Lesson: Parametric Equations and Curves in Two Dimensions AP Calculus BC

Mathematics

In this lesson, we will learn how to graph curves given by a pair of parametric equations in 2D.

Video

12:06

Sample Question Videos

01:57
04:27
04:07

Worksheet

Q1:

Noah wants to graph the parametric equations and , where .

He has started to complete a table of values.

0	0.5	1	1.5	2
−2	−1		1	2
3	2.75			−1

Find the values of , and .

Use the table of values to determine which of the following graphs is correct.

Q2:

Jackson wants to graph the parametric equations and , where .

He has started to complete a table of values.

	0
	2
	0				0

Work out the values of , and .

When Jackson plots the coordinates on a graph, he is not entirely sure about the shape of the curve. What is the one thing he could do to find out more about the shape of the curve?

Q3:

A particle following the parameterization , of the unit circle starts at and moves counterclockwise. At what values of is the particle at ? Give exact values.

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