Consider the function f:{R}→ R^3 defined by f(θ)=( cos θ , sin θ ,&th
Question: Consider the function \(f:\mathbb{R}\to {{\mathbb{R}}^{3}}\) defined by
\[f\left( \theta \right)=\left( \cos \theta ,\sin \theta ,\theta \right)\](a) What kind of picture do you obtain when you sketch the image of f in \({{\mathbb{R}}^{3}}\) ?
(b) Is this function continuous? You may assume that the elementary functions sin and cos are continuous.
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Answer: The solution consists of 1 page
Deliverables: Word Document
Deliverables: Word Document