Parametric equations

Question 1

How do you find a cartesian equation?

Answer 1

Put in the form y = ____

Question 2

How would you this in cartesian form?
x= 1 + 2t / t
y= 5 - t / t^2

Answer 2

rearrange x= 1 + 2t / t to make t the subject
–> t = 1 / x-2
then sub this into y=5-t/t^2

Question 3

How do you differentiate parametric curves?

Answer 3

dy/dx = dy/dt ÷ dx/dt

Question 4

How do you find d^2 y / dx^2 for a parametric equation?

Answer 4

you have to do a bucket test

Question 5

Given that dy/dx = 4t^3 - 6t^2, and when t=3/2, x=0.5
find d^2 y/dx^2 ?

Answer 5

do a bucket test
from q t=1.5
so in bucket test put t values as t=1.4, t=1.5 and t=1.6
from q x=0.5
so in test put x values as x=0.4 x=0.5 and x=0.6
put this into dy/dx
match first t and first x together
find dy/dx, state if its positive or negative