Different Representation of Curves – Switch from parametric to Cartesian – Exercise 3752

Exercise

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

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

The range of parameter t is

$-\infty< t<\infty$

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

Final Answer

$\frac{x^2}{16}+\frac{y^2}{9}=1$

$z=t$

Solution

Coming soon…

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