Answered

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

Sagot :

We are given the following equation

[tex]y=x^5+5[/tex]

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

[tex]y=t^5+5[/tex]

So, we have got a set of parametric equations

[tex]x=t\quad and\quad y=t^5+5[/tex]

Similarly,

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

[tex]y=(2t)^5+5=2^5t^5+5=32t^5+5[/tex]

So, we have got another set of parametric equations

[tex]x=2t\quad and\quad y=32t^5+5[/tex]

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