# 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.

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