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r(t) = (cos(3t), sin(3t), 2t), P = (0, -1, π).

r(t) = (cos(3t), sin(3t), 2t), P = (0, -1, π).

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Question
5. Find the normal plane and the osculating plane of the curve at point P. 1 (a) r(t) = (cos(3t), sin(3t), 2t), P = (0,−1, π). (b) r(t) = (ln(t), t², 2t), P = (0, 1, 2).
Transcribed Image Text:5. Find the normal plane and the osculating plane of the curve at point P. 1 (a) r(t) = (cos(3t), sin(3t), 2t), P = (0,−1, π). (b) r(t) = (ln(t), t², 2t), P = (0, 1, 2).
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