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Different Representation of Curves – Switch from parametric to Cartesian – Exercise 3748

Exercise

Given the vector function in parameter representation (with parameters t and a)

\vec{r}(t)=a(t-\sin t)\vec{i}+a(1-\cos t)\vec{j}

a>0

The range of parameter t is

-\infty< t<\infty

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

Final Answer

x(t)=a(t-\sin t)

y(t)=a(1-\cos t)

Solution

Coming soon…

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