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29. a) Find the point, if any, where the tangent line to the curve F(t) = (t²-2,4-t, e-3t-t) at t = 1 intersects the plane z = x. b) At what points does the curve F(t) = ti + (2t -t²)k intersects the paraboloid z = x² + y².

29. a) Find the point, if any, where the tangent line to the curve F(t) = (t²-2,4-t, e-3t-t) at t = 1 intersects the plane z = x. b) At what points does the curve F(t) = ti + (2t -t²)k intersects the paraboloid z = x² + y².

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 29, just part b) please 

4:33 ao mp ZONE 29. a) Find the point, if any, where the tangent line to the curve r(t) = (t² – 2,4 — t, e−³t – t) at t = 1 intersects the plane z = x. b) At what points does the curve r(t) = tî + (2t – t²)k intersects the paraboloid z = x² + y². . || 83% |||
Transcribed Image Text:4:33 ao mp ZONE 29. a) Find the point, if any, where the tangent line to the curve r(t) = (t² – 2,4 — t, e−³t – t) at t = 1 intersects the plane z = x. b) At what points does the curve r(t) = tî + (2t – t²)k intersects the paraboloid z = x² + y². . || 83% |||
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