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Question 9. A circular helix in ryz-space has the following parametric equations, where 0 e R. z(0) = 4cos 0 y(0) = 4 sin ở 2(0) = 30 Let L(0) be the arclength of the helix from the point P(@) = (r(8), y(8), 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) @ = 2 c) To calculate the value of D for a given 0, r(0) and y(8) have to be evaluated explicitely. d) D(@) = V52

Question 9. A circular helix in ryz-space has the following parametric equations, where 0 e R. z(0) = 4cos 0 y(0) = 4 sin ở 2(0) = 30 Let L(0) be the arclength of the helix from the point P(@) = (r(8), y(8), 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) @ = 2 c) To calculate the value of D for a given 0, r(0) and y(8) have to be evaluated explicitely. d) D(@) = V52

Advanced Engineering Mathematics
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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Question 9. A circular helix in ryz-space has the following parametric equations, where 0 ER. r(8) = y(0) 2(8) = 4 cos 0 4 sin e 30 Let L(0) be the arclength of the helix from the point P(8) = (x(8), 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 6, 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(8) = y(0) 2(8) = 4 cos 0 4 sin e 30 Let L(0) be the arclength of the helix from the point P(8) = (x(8), 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 6, r(0) and y(6) have to be evaluated explicitely. d) D(0) = v52
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