SOLUTION: Name the curve and find the rectangular form for the parametric equations.? The equations are: x(t)= 1/√t+1 and y(t)=t/t+1 t ≠ -1

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Question 1173368: Name the curve and find the rectangular form for the parametric equations.?
The equations are:
x(t)= 1/√t+1 and y(t)=t/t+1
t ≠ -1
Found 2 solutions by ikleyn, ewatrrr:
Answer by ikleyn(52840)   (Show Source): You can put this solution on YOUR website!
.

From  x = ,  you get, squaring,


    x^2 = ,

    x^2*(t+1) = 1

    x^2*t + x^2 = 1

    x^2*t = 1 - x^2

    t = .


Now substitute it into the expression for y = .  You will get


    y =  :  =  :  = 1- x^2.


So, the curve is the parabola


    y = 1- x^2.      ANSWER

Solved.



Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
x(t)= 1/√t+1 and y(t)=t/t+1 t ≠ -1
x^2 = 1/(t+1)  0r (t+1) = 1/x^2   0r t = 1/x^2 -1
substitute 

  Wish You the Best in your Studies.



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