Question 1by the vector equationLet C be a curve definedr(t)= <4t³ – 8t, 4t³ + 5t, e4t³–8ta) [Show that the pointP(16,42, e¹6)167°lies on the curve C.b)Find parametric equations for thetangent line to the curve C at the point P.

Answered: Image /qna-images/answer/70e24e55-6ee2-4983-91da-6a9035e224f4.jpg

Answered: Question 1 by the vector equation Let C…

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 1 by the vector equation Let C be a curve defined ·7· r(t)= <4t³ – 8t, 4t³ + 5t, e4t³-8t. a) [ Show that the point P(16,42, e¹6) lies on the curve C. b) Find parametric equations for the tangent line to the curve C at the point P.