Question 9. A circular helix in ryz-space has the following parametric equations, where 0 E R. r(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) (a(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, a(0) and y(8) have to be evaluated explicitely. d) D(0) = V52
Question 9. A circular helix in ryz-space has the following parametric equations, where 0 E R. r(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) (a(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, a(0) and y(8) have to be evaluated explicitely. d) D(0) = V52
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Question 9. A circular helix in ryz-space has the following parametric equations, where 0 E R.
r(0)
y(0)
z(0)
4 cos e
4 sin 0
30
Let L(0) be the arclength of the helix from the point P(0) = (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?
%3D
a) 0 = 4
b) 0 = 2
c) To calculate the value of D for a given 0, r(0) and y(0) have to be evaluated explicitely.
d) D(0) = V52
%3D
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