\begin{align*} x &= 2\cos t, \\ y &= 2\sin t, \\ z &= t/3, \end{align*} $0\le t\le 4\pi$
\begin{align*} x &= t, \\ y &= t^3, \\ z &= t^2, \end{align*} $-2\le t\le 2$
\begin{align*} x &= (2 + \sin(10t))\cos t, \\ y &= (2 + \sin(10t))\sin t, \\ z &= \cos(10t), \end{align*} $0\le t\le 2\pi$
\begin{align*} x &= \tfrac{3}{2}(1+\cos t), \\ y &= \tfrac{3}{2}\sin t, \\ z &= 3\sin\left(\tfrac{t}{2}\right), \end{align*} $0\le t\le 4\pi$
\begin{align*} x &= (1.04)^t \cos t, \\ y &= (1.04)^t \sin t, \\ z &= (1.04)^t, \end{align*} $0\le t\le 10\pi$
\begin{align*} x &= 3\sin\left(\tfrac{7}{4}t\right)\cos(t), \\ y &= 3\sin\left(\tfrac{7}{4}t\right)\sin(t), \\ z &= 3\cos\left(\tfrac{7}{4}t\right), \end{align*} $0\le t\le 8\pi$

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