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הDifferent Representation of Curves – Switch from parametric to Cartesian – Exercise 3742

Exercise

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

\vec{r}(t)=\cos^3 t\vec{i}+\sin^3 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

x^{\frac{2}{3}}+y^{\frac{2}{3}}=1

Solution

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