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Where does the helix r(t) = cos(?t), 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

Math Jan 14, 2021

Where does the helix

r(t) =

rightangle0.gif

cos(?t), sin(?t), t

intersect the paraboloid

z = x2 + y2?

(xyz) =

leftparen1.gif
rightparen1.gif



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.)

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