Question 9. A circular helix in xyz-space has the following parametric equations, where 0 E R. 4 cos 0 æ(0) y(0) z(0) 4 sin 0 30 Let L(0) be the arclength of the helix from the point P(0) = (x(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 b) 0 = 2 c) To calculate the value of D for a given 0, x(0) and y(0) have to be evaluated explicitely. d) D(0) = /52

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 xyz-space has the following parametric equations, where 0 E R.
x(0)
y(0)
z(0)
4 cos 0
4 sin 0
30
Let L(0) be the arclength of the helix from the point P(0) = (x(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
b) 0 = 2
c) To calculate the value of D for a given 0, x(0) and y(0) have to be evaluated explicitely.
d) D(0) = /52
Transcribed Image Text:Question 9. A circular helix in xyz-space has the following parametric equations, where 0 E R. x(0) y(0) z(0) 4 cos 0 4 sin 0 30 Let L(0) be the arclength of the helix from the point P(0) = (x(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 b) 0 = 2 c) To calculate the value of D for a given 0, x(0) and y(0) have to be evaluated explicitely. d) D(0) = /52
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