Different Representation of Curves – Switch from parametric to Cartesian – Exercise 3722

Exercise

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

$\vec{r}(t)=t\vec{i}+(3t^2+1)\vec{j}$

The range of parameter t is

$-\infty< t<\infty$

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

Final Answer

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Solution

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