Where does the helix r(t) = (cos(nt), sin(t), t) intersect the paraboloid z = x² + y²? (x, y, z) = What is the angle of intersection between the helix and the paraboloid? (This is the angle between the tangent vector to the curve and the tangent plane to the paraboloid. Round your answer to one decimal place.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 17T
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Where does the helix r(t) = (cos(át), sin(ät), t) intersect the paraboloid z =
(x, y, z)
=
x² + y²?
What is the angle of intersection between the helix and the paraboloid? (This is the angle between the tangent vector to the curve and the tangent plane to the paraboloid. Round
your answer to one decimal place.)
O
Transcribed Image Text:Where does the helix r(t) = (cos(át), sin(ät), t) intersect the paraboloid z = (x, y, z) = x² + y²? What is the angle of intersection between the helix and the paraboloid? (This is the angle between the tangent vector to the curve and the tangent plane to the paraboloid. Round your answer to one decimal place.) O
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