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For each of the following parametrization, find an equation [math]F(x,y) = c[/math] whose graph is the parametrized curve

• [math]P(t) = (t^2,t)[/math], \quad [math]-\infty \lt t \lt \infty[/math].
• lab{10.1.4b} [math]\dilemma{x=e^{3t},}{y=e^t, & -\infty \lt t \lt \infty.}[/math]
• lab{10.1.4c} [math]\dilemma{x=e^t+e^{-t},} {y=e^t-e^{-t}, & -\infty \lt t \lt \infty.}[/math]

[For \ref{ex10.1.4b} and \ref{ex10.1.4c}, you will need in addition to the equation [math]F(x,y) = c[/math], the inequality [math]x \gt 0[/math].]