Question 1 described by the vector function r(t) = (4t² ln t, ¹-4, -2e-3t). 2 a) Consider the curve which is Find the integral fr(t)dt. b) Find parametric equations for the tangent line to the given curve at the point (0, -3, -2e-³). Can you find parametric equations for the tangent line to the given curve at the point (0, -2,-2)?

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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Question 1
described by the vector function
r(t) = (4t² ln t, ¹-4, -2e-³t).
a)
b)
Find parametric equations for the tangent
line to the given curve at the point (0, -3, -2e-³).
2'
c)
Can you find parametric equations for the
tangent line to the given curve at the point
(0, -2,-2)?
Consider the curve which is
Find the integral ſ r(t)dt.
Transcribed Image Text:Question 1 described by the vector function r(t) = (4t² ln t, ¹-4, -2e-³t). a) b) Find parametric equations for the tangent line to the given curve at the point (0, -3, -2e-³). 2' c) Can you find parametric equations for the tangent line to the given curve at the point (0, -2,-2)? Consider the curve which is Find the integral ſ r(t)dt.
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