Consider the surface S consisting of the part of the cylinder y + z = 16...

 

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Consider the surface S consisting of the part of the cylinder y² + z² = 16 that lies between the planes x = 1 and x = 4. (a) Find a parametric representation of S. r(s,t) = (s, with SE and t E Σ M with t = [0, 2π] 3 Σ 1 M (b) Find a parametric representation of the boundary curve of S where x = 1. ri(t) - (1. Σ Σ M Σ with t € [0, 2π] (c) Find a parametric representation of the boundary curve of S' where x = 4. ry(t) = (4, – ΣΥ Consider the surface S consisting of the part of the cylinder y² + z² = 16 that lies between the planes x = 1 and x = 4. (a) Find a parametric representation of S. r(s,t) = (s, with SE and t E Σ M with t = [0, 2π] 3 Σ 1 M (b) Find a parametric representation of the boundary curve of S where x = 1. ri(t) - (1. Σ Σ M Σ with t € [0, 2π] (c) Find a parametric representation of the boundary curve of S' where x = 4. ry(t) = (4, – ΣΥ

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a To find a parametric representation of the surface S we can use cylindrical coordinates The equati... View the full answer