Question
Describe in words the objects parameterized by the equations in Exercises 5-8. $$\begin{aligned}& x=5 \cos \theta \\& 0 \leq \theta \leq 2 \pi\end{aligned} \quad y=5 \sin \theta \quad z=5 \theta$$
Step 1
The equations given are \( x = 5 \cos \theta \) and \( y = 5 \sin \theta \). These are the parametric equations for a circle in the xy-plane with a radius of 5. Show more…
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Describe in words the objects parameterized by the equations. (Note: $r$ and $\theta$ are cylindrical coordinates.) $$\begin{array}{lll} x=5 \cos \theta & y=5 \sin \theta & z=5 \theta \\ 0 \leq \theta \leq 2 \pi & \end{array}$$
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