Sulpcegu5e ppt 10_7

Section 10.7

Plane Curves and Parametric Equations

OBJECTIVE 1

Graph the curve defined by the parametric equations

2 3, 3, 0 4x t y t t

OBJECTIVE 2

Graph the curve defined by the parametric equations

2 3, 3, 0 4x t y t t

OBJECTIVE 3

OBJECTIVE 4

OBJECTIVE 5

2Find two different parametric equations for the equation 1 3y x

(a) The motion around the ellipse is clockwise, begins at the point (4, 0), and requires 2 seconds for a complete revolution.

(b) The motion around the ellipse is counterclockwise, begins at the point (0, 3), and requires 1 second for a complete revolution.

2 2

116 9

x y