The length 22 of the turn of the helix in Example 1 is also the length of
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The length 2π√2 of the turn of the helix in Example 1 is also the length of the diagonal of a square 2π units on a side. Show how to obtain this square by cutting away and flattening a portion of the cylinder around which the helix winds.
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EXAMPLE 1 A glider is soaring upward along the helix r(t) = (cos t)i + (sin f)j + tk. How long is the glider's path from t = 0 tot = 2π?
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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