Question

Write The Parametric Equations In Carteslan Form. X=√t,Y=5−t Y= With X≥0

Answer 1

To write the parametric equations in Cartesian form, we need to eliminate the parameter, 't', and express 'x' and 'y' in terms of each other. Given x = √t and y = 5 - t, we can solve for 't' in the equation for 'x' and substitute it into the equation for 'y'. The parametric equations in Cartesian form are: y = 5 - x^2 and x ≥ 0.

Step-by-step explanation:

To write the parametric equations in Cartesian form, we need to eliminate the parameter, 't', and express 'x' and 'y' in terms of each other.

Given x = √t and y = 5 - t, we can solve for 't' in the equation for 'x' and substitute it into the equation for 'y'.

First, square both sides of the equation x = √t to get x^2 = t.

Substituting this into the equation for 'y', we get y = 5 - x^2.

So, the parametric equations in Cartesian form are: y = 5 - x^2 and x ≥ 0.