Suppose the position of an object is modeled by the function (t) = (t, t³ + t,e¹). Which of the following represents a line tangent the the objects path at time t = 1. ○ Ī(t) = (1 +t, 2 + 4t, e + te) OL(t) = (1,2, e) +t(-1,2,0) ○ Ž(t) = (0, 0, 1) +t(1, 4, e) OL(t) = (1 + t, 5+ 3t², e+ e¹)

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 3
Suppose the position of an object is modeled by the function (t) = (t, t³ +t, eª). Which of the
following represents a line tangent the the objects path at time t = 1.
○ Ē(t) = (1 + t, 2 + 4t, e + te)
○ L(t) =(1, 2, e) + t(-1,2,0)
Ž(t) = (0,0, 1) + t(1,4, e)
O Ī(t) = (1 + t, 5+ 3t², e+ e¹)
Transcribed Image Text:Question 3 Suppose the position of an object is modeled by the function (t) = (t, t³ +t, eª). Which of the following represents a line tangent the the objects path at time t = 1. ○ Ē(t) = (1 + t, 2 + 4t, e + te) ○ L(t) =(1, 2, e) + t(-1,2,0) Ž(t) = (0,0, 1) + t(1,4, e) O Ī(t) = (1 + t, 5+ 3t², e+ e¹)
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