Consider the parametric equations x=\sqrt{t-2}\ and\ y=\frac{1}{2}t+1, t\geq

FizeauV

FizeauV

Answered question

2021-09-28

Consider the parametric equations x=t2 and y=12t+1,t2. What is implied about the domain of the resulting rectangular equation?

Answer & Explanation

tabuordg

tabuordg

Skilled2021-09-29Added 99 answers

Step 1
Consider the given parametric equation as
x=t2 and y=12t+1
Step 2
Now find the value of t
x=t2
x2=t2
t=x2+2
Substitute the value of t in the y=12t+1
y=12(x2+2)+1
Now find the domain as
x2+22
x20
x0
Function is defined for all real numbers [0,).

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