Question 9. A circular helix in xyz-space has the following parametric equations, where θ ∈ R. x(θ) = 4 cos θ y(θ) = 4 sin θ z(θ) = 3θ Let L(θ) be the arclength of the helix from the point P(θ) = (x(θ), y(θ), z(θ)) to the point P(0) = (4, 0, 0), and let D(θ) be the distance between P(θ) and the origin (0, 0, 0). Let L(θ) = 10. Which statements do hold? a) θ = 4 b) θ = 2 c) To calculate the value of D for a given θ, x(θ) and y(θ) have to be evaluated explicitely. d) D(θ) = √52

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