Question
Find two different sets of parametric equations for each rectangular equation:
1.y=x^2+10
2.x+y^2=4
3.x^2+4y^2-16=0
1.y=x^2+10
2.x+y^2=4
3.x^2+4y^2-16=0
Answers
oobleck
#1. x = t^2+10, y = t
#2. y = 2-t, x = 4t-t^2
#3. This is the same as
x^2/16 + y^2/4 = 1
so
x = 4cos(t), y = 2sin(t)
See what you can do for the 2nd possibilities
#2. y = 2-t, x = 4t-t^2
#3. This is the same as
x^2/16 + y^2/4 = 1
so
x = 4cos(t), y = 2sin(t)
See what you can do for the 2nd possibilities