eliminate the parameter to find the cartesian equation of the curve for x=√t, y=7-t for x≥ 0

Substitute the value of t from the first equation into the second equation:

t = x^2

y = 7 - t
y = 7 - x^2

The Cartesian equation of the curve is y = 7 - x^2 for x ≥ 0.