Answer:
Given that,
Given equation is,
[tex]y=\frac{1}{2x}[/tex]
If y=2+t.
To find the parametric equation of x.
Explanation:
we know that,
Parametric equation, a type of equation that employs an independent variable called a parameter (often denoted by t) and in which dependent variables are defined as continuous functions of the parameter and are not dependent on another existing variable.
It is given that,
y=2+t
Also we have that,
[tex]y=\frac{1}{2x}[/tex]
Substitute the parametric form of y in the above equation,
we get,
[tex]2+t=\frac{1}{2x}[/tex]
Solve for x, we get
[tex]2x(2+t)=1[/tex][tex]x(4+2t)=1[/tex][tex]x=\frac{1}{4+2t}[/tex]
The parametric equation of x is,
[tex]x=\frac{1}{4+2t}[/tex]
