Question 9. A circular helix in ryz-space has the following parametric equations, where ER. I(0) = 4 cos 0 y(0) = 4sin 0 z(0) = 30 Let L(0) be the arclength of the helix from the point P(0) = (r(0), y(0), 2(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, 2(0) and y(0) have to be evaluated explicitely. d) D(0)=√52

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question 9. A circular helix in ryz-space has the following parametric equations, where 0 E R.
r(8)
y(0) =
4 cos 0
4 sin 0
2(8) =
30
Let L(0) be the arclength of the helix from the point P(8) = (x(4), y(0), z(0)) to the point P(0) = (4, 0, m, and let
D(0) be the distance between P(0) and the origin (0,0,0). Let L(6) = 10. Which statements do hold?
a) 0 = 4
b) 0 = 2
c) To calculate the value of D for a given 6, r(6) and y(0) 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 E R. r(8) y(0) = 4 cos 0 4 sin 0 2(8) = 30 Let L(0) be the arclength of the helix from the point P(8) = (x(4), y(0), z(0)) to the point P(0) = (4, 0, m, and let D(0) be the distance between P(0) and the origin (0,0,0). Let L(6) = 10. Which statements do hold? a) 0 = 4 b) 0 = 2 c) To calculate the value of D for a given 6, r(6) and y(0) have to be evaluated explicitely. d) D(0) = V52
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