Consider the curve given by 7(t) = (etcost, et sint, 5e¹) Find the value of t that corresponds to the position vector with terminal point (1,0,5). a. b. Find the unit tangent vector 7, principle unit normal vector , and curvature x at the time found in part a.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the curve given by
7(t) = (etcost, et sint, 5et)
Find the value of t that corresponds to the position vector with terminal
point (1,0,5).
a.
b. Find the unit tangent vector 7, principle unit normal vector №, and
curvature x at the time found in part a.
Transcribed Image Text:Consider the curve given by 7(t) = (etcost, et sint, 5et) Find the value of t that corresponds to the position vector with terminal point (1,0,5). a. b. Find the unit tangent vector 7, principle unit normal vector №, and curvature x at the time found in part a.
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