Question 9. A circular helix in ryz-space has the following parametric equations, where 0 ER. r(0) = y(0) = 30 4 cos 0 4 sin 0 2(0) = Let L(0) be the arclength of the helix from the point P(@) = (r(0), y(0), z(0)) to the point P(0) = (4,0,0), and let D(0) be the distance between P(0) and the origin (0,0,0). Let L(0) = 10. Which statements do hold? a) 0 = 4 %3D b) 0 = 2 c) To calculate the value of D for a given 0, r(0) and y(@) have to be evaluated explicitely. d) D(0) = V52

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 36E
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Question 9. A circular helix in ryz-space has the following parametric equations, where 0 ER.
r(0)
y(0)
z(0)
4 cos 0
4 sin 0
%3D
%3D
30
Let L(0) be the arclength of the helix from the point P(@) = (r(0), y(0), z(0)) to the point P(0) = (4,0,0), and let
D(0) be the distance between P(8) and the origin (0,0,0). Let L(0) = 10. Which statements do hold?
a) 0 = 4
b) 0 = 2
c) To calculate the value of D for a given 0, r(0) and y(6) have to be evaluated explicitely.
d) D(0) = v52
Transcribed Image Text:Question 9. A circular helix in ryz-space has the following parametric equations, where 0 ER. r(0) y(0) z(0) 4 cos 0 4 sin 0 %3D %3D 30 Let L(0) be the arclength of the helix from the point P(@) = (r(0), y(0), z(0)) to the point P(0) = (4,0,0), and let D(0) be the distance between P(8) and the origin (0,0,0). Let L(0) = 10. Which statements do hold? a) 0 = 4 b) 0 = 2 c) To calculate the value of D for a given 0, r(0) and y(6) have to be evaluated explicitely. d) D(0) = v52
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