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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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