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Problem 395

For the following exercises, eliminate the parameter \(t\) to rewrite the parametric equation as a Cartesian equation. $$\left\\{\begin{array}{l}{x(t)=t-1} \\ {y(t)=t^{2}}\end{array}\right.$$

Problem 396

For the following exercises, eliminate the parameter \(t\) to rewrite the parametric equation as a Cartesian equation. $$\left\\{\begin{array}{l}{x(t)=-t} \\ {y(t)=t^{3}+1}\end{array}\right.$$

Problem 397

For the following exercises, eliminate the parameter \(t\) to rewrite the parametric equation as a Cartesian equation. $$\left\\{\begin{array}{l}{x(t)=2 t-1} \\ {y(t)=t^{3}-2}\end{array}\right.$$

Problem 398

For the following exercises, rewrite the parametric equation as a Cartesian equation by building an \(x-y\) table. $$\left\\{\begin{array}{l}{x(t)=2 t-1} \\ {y(t)=t+4}\end{array}\right.$$

Problem 399

For the following exercises, rewrite the parametric equation as a Cartesian equation by building an \(x-y\) table. $$\left\\{\begin{array}{l}{x(t)=4-t} \\ {y(t)=3 t+2}\end{array}\right.$$

Problem 400

For the following exercises, rewrite the parametric equation as a Cartesian equation by building an \(x-y\) table. $$\left\\{\begin{array}{l}{x(t)=2 t-1} \\ {y(t)=5 t}\end{array}\right.$$

Problem 401

For the following exercises, rewrite the parametric equation as a Cartesian equation by building an \(x-y\) table. $$\left\\{\begin{array}{l}{x(t)=4 t-1} \\ {y(t)=4 t+2}\end{array}\right.$$

Problem 402

For the following exercises, parameterize (write parametric equations for) each Cartesian equation by setting \(x(t)=t\) or by setting \(y(t)=t .\) $$y(x)=3 x^{2}+3$$

Problem 403

For the following exercises, parameterize (write parametric equations for) each Cartesian equation by setting \(x(t)=t\) or by setting \(y(t)=t .\) $$y(x)=2 \sin x+1$$

Problem 404

For the following exercises, parameterize (write parametric equations for) each Cartesian equation by setting \(x(t)=t\) or by setting \(y(t)=t .\) $$x(y)=3 \log (y)+y$$

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