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do the parametric equations x=t^2 and y=t^2 describe the line y=x?

and if y is a function of t and x is a function of t, then is y a funcion of x?

and last, does x=cos t, y=cos^2(t) describe the parabola y=x^2?

these arent my homework questions, but any help or explanation of this would really help me out...thanks : )