Question 10 described by the vector function r(t) = (4t² ln t, ¹-4, -2e-3t). Find the integral ſ r(t)dt. 22 a) Consider the curve which is 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)?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 10
described by the vector function
r(t) = (4t² Int, -2e-3t).
t-4
Consider the curve which is
29
a)
Find the integral ſ r(t)dt.
b)
Find parametric equations for the tangent
line to the given curve at the point (0, -3, -2e-³).
c)
Can you find parametric equations for the
tangent line to the given curve at the point
(0, -2,-2)?
Transcribed Image Text:Question 10 described by the vector function r(t) = (4t² Int, -2e-3t). t-4 Consider the curve which is 29 a) Find the integral ſ r(t)dt. b) Find parametric equations for the tangent line to the given curve at the point (0, -3, -2e-³). c) Can you find parametric equations for the tangent line to the given curve at the point (0, -2,-2)?
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