Chapter 12.1 Parametric & Polar Curves NOTES

Question 1

Parametric equations

Answer 1

specify x and y in terms of a third variable called a parameter (ex. θ)

Question 2

Parametric equations (form)

Answer 2

x = g(t), y = h(t)

Question 3

Parametric curve

Answer 3

(x,y) = (g(t), h(t)), for a ≤ t ≤ b

Question 4

Visualizing parametric curves by

Answer 4

by plotting individual points (make a table) (ex. t, x, y, (x,y))

Question 5

It is possible to eleiminate the parameter from a set of parametric equations and obtain a description of the curve in terms of x and y

Answer 5

rewrite the x equation in terms of x and substitute into the y equation