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Construct parametric equations describing the graph of the following equation.y =2xIf y = 2 + 1, find the parametric equation for x.

Construct parametric equations describing the graph of the following equation.y =2xIf-example-1
User Adali
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1 Answer

7 votes

Answer:

Given that,

Given equation is,


y=(1)/(2x)

If y=2+t.

To find the parametric equation of x.

Step-by-step 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,


y=(1)/(2x)

Substitute the parametric form of y in the above equation,

we get,


2+t=(1)/(2x)

Solve for x, we get


2x(2+t)=1
x(4+2t)=1
x=(1)/(4+2t)

The parametric equation of x is,


x=(1)/(4+2t)

User UrKll
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