Parametric Equations - [Pure 4].

Question 1

What type of Equations are Parametric Equations most like?

Answer 1

Simultaneous Equations (sub one into the other).

Question 2

How do you get ‘dy/dx’ using parametric functions?

Answer 2

dy/dx = (dy/dt) / (dx/dt).

Question 3

If you have Parametric Equations: (x = t² -t) and (y = t³ - t²), what is dy/dx?

Answer 3

• (x = t² - t) –> dx/dt = 2t - 1.
• (y = t³ - t²) –> dy/dt = 3t² - 2t.
• dy/dx = (dy/dt) / (dx/dt).
• dy/dx = (3t² - 2t) / (2t - 1).

Question 4

What equation do you have to remember for Parametric Integration?

Answer 4

Area = ∫y(x) dx = ∫y(t)(dx/dt) dt.

Question 5

What do you sometimes have to change with Parametric Integration?

Answer 5

The Bounds you are given.