The DNA molecule comes in the form of a double helix, meaning two helices that wrap around one another. Suppose a single one of the helices has a radius of 6 A (1 angstrom = 10-8 cm) and one full turn of the helix has a height of 31 A. Find the paremetrization r(t) of the helix. r(t) = (6 cos(1), a, b) (Use symbolic notation and fractions where needed.) a= b= Find the arc length L of one full turn of the helix. L=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 68E
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The DNA molecule comes in the form of a double helix, meaning two helices that wrap around one another. Suppose a
single one of the helices has a radius of 6 A (1 angstrom = 10-8 cm) and one full turn of the helix has a height of 31 A.
Find the paremetrization r(t) of the helix.
r(t) = (6 cos(1), a, b)
(Use symbolic notation and fractions where needed.)
a =
b =
Find the arc length L of one full turn of the helix.
L=
Transcribed Image Text:The DNA molecule comes in the form of a double helix, meaning two helices that wrap around one another. Suppose a single one of the helices has a radius of 6 A (1 angstrom = 10-8 cm) and one full turn of the helix has a height of 31 A. Find the paremetrization r(t) of the helix. r(t) = (6 cos(1), a, b) (Use symbolic notation and fractions where needed.) a = b = Find the arc length L of one full turn of the helix. L=
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