Let (a) Show that r(t) parametrizes a helix of radius R and height h making N complete

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Let2Nt 2Nt r(1) = ( R cos (2#N"). R sin ( 2*N).s). h h 0th

(a) Show that r(t) parametrizes a helix of radius R and height h making N complete turns.
(b) Guess which of the two springs in Figure 6 uses more wire.
(c) Compute the lengths of the two springs and compare.

3 turns, radius 7 cm (A) 4 cm 5 turns, radius 4 cm (B) 3 cm

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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