The helix of radius R, height h, and N complete turns has the parametrization Nt r(t) = ( R (R cos(²™N² ), R sin(²″N¹),1
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The helix of radius R, height h, and N complete turns has the parametrization Nt r(t) = ( R (R cos(²™N² ), R sin(²″N¹),1
𝐫(𝑡)=〈𝑅cos(2𝜋𝑁𝑡ℎ),𝑅sin(2𝜋𝑁𝑡ℎ),𝑡〉, 0≤𝑡≤ℎr(t)=〈Rcos(2πNth),Rsin(2πNth),t〉, 0≤t≤h
Calculate the length 𝑠s of a helixif 𝑅=8, ℎ=17, and 𝑁=4.R=8, h=17,and N=4.
(Use symbolic notation and fractions where needed.)
The helix of radius R, height h, and N complete turns has the parametrization Nt r(t) = ( R (R cos(²™N² ), R sin(²″N¹),1), h Calculate the length s of a helix if R (Use symbolic notation and fractions where needed.) S = - 0 ≤ t ≤h 8, h = 17, and N = 4.