Question

Find two different parametric equations for the rectangular equation giveny=x^5+5

Answer 1

We are given the following equation

`y=x^5+5`

We are asked to find two different parametric equations for the above equation.

There are many different possibilities to write the parametric equations.

For example:

Let x = t and substitute it into the given equation

`y=t^5+5`

So, we have got a set of parametric equations

`x=t\quad and\quad y=t^5+5`

Similarly,

Let x = 2t and substitute it into the given equation

`y=(2t)^5+5=2^5t^5+5=32t^5+5`

So, we have got another set of parametric equations

`x=2t\quad and\quad y=32t^5+5`