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Let an Ellipse Be Parameterized by the Equations x=4+2costy=3+4sint\begin{aligned}& x=4+2 \cos t \\& y=3+4 \sin t\end{aligned}

Question 34

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Let an ellipse be parameterized by the equations
x=4+2costy=3+4sint\begin{aligned}& x=4+2 \cos t \\& y=3+4 \sin t\end{aligned}
a) What is the center?
b) What is the length of the major axis?
c) What is the length of the minor axis?
d) Find an implicit equation of the curve.

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