Different Representation of Curves – Switch from parametric to Cartesian – Exercise 3732

Exercise

Given the vector function in parameter representation (with parameter t)

$\vec{r}(t)=(3+2\cos t)\vec{i}+(2+4\sin t)\vec{j}$

The range of parameter t is

$0\leq t<2\pi$

Present the curve in the Cartesian presentation and describe the curve graph.

Final Answer

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Solution

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