Question 1 Let C be a curve defined by the vector equation r(t)= <81³91, 81³ + 71, e8³-91>. Show that the point a) lies on the curve C. b)! at the point P. P(1, -15, e) Find parametric equations for the tangent line to the curve 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
Let C be a curve defined by the vector equation
r(t)= <8t³ - 9t, 8t3 +7t, est³-9t>.
Show that the point
a)
lies on the curve C.
b)!
at the point P.
P(1, -15, e)
Find parametric equations for the tangent line to the curve C
Transcribed Image Text:Question 1 Let C be a curve defined by the vector equation r(t)= <8t³ - 9t, 8t3 +7t, est³-9t>. Show that the point a) lies on the curve C. b)! at the point P. P(1, -15, e) Find parametric equations for the tangent line to the curve C
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