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Magazine Problem 437
For the following exercises, sketch the curve and include the orientation. $$\left\\{\begin{array}{l}{x(t)=4 \sin t} \\ {y(t)=2 \cos t}\end{array}\right.$$
Problem 438
For the following exercises, sketch the curve and include the orientation. $$\left\\{\begin{array}{l}{x(t)=2 \sin t} \\ {y(t)=4 \cos t}\end{array}\right.$$
Problem 439
For the following exercises, sketch the curve and include the orientation. $$\left\\{\begin{array}{l}{x(t)=3 \cos ^{2} t} \\ {y(t)=-3 \sin t}\end{array}\right.$$
Problem 440
For the following exercises, sketch the curve and include the orientation. $$\left\\{\begin{array}{l}{x(t)=3 \cos ^{2} t} \\ {y(t)=-3 \sin ^{2} t}\end{array}\right.$$
Problem 441
For the following exercises, sketch the curve and include the orientation. $$\left\\{\begin{array}{l}{x(t)=\sec t} \\ {y(t)=\tan t}\end{array}\right.$$
Problem 442
For the following exercises, sketch the curve and include the orientation. $$\left\\{\begin{array}{l}{x(t)=\sec t} \\ {y(t)=\tan ^{2} t}\end{array}\right.$$
Problem 443
For the following exercises, sketch the curve and include the orientation. $$\left\\{\begin{array}{l}{x(t)=\frac{1}{e^{2 t}}} \\\ {y(t)=e^{-t}}\end{array}\right.$$
Problem 444
For the following exercises, graph the equation and include the orientation. Then, write the Cartesian equation. $$\left\\{\begin{array}{l}{x(t)=t-1} \\ {y(t)=-t^{2}}\end{array}\right.$$
Problem 445
For the following exercises, graph the equation and include the orientation. Then, write the Cartesian equation. $$\left\\{\begin{array}{l}{x(t)=t^{3}} \\ {y(t)=t+3}\end{array}\right.$$
Problem 446
For the following exercises, graph the equation and include the orientation. Then, write the Cartesian equation. $$\left\\{\begin{array}{l}{x(t)=2 \cos t} \\ {y(t)=-\sin t}\end{array}\right.$$
