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15) Consider the vector field F (x, y, 2) = (In y, x, z) and the oriented curve C:r (t) = (t, e', 2 –- t), te [0,2] , as shown in the following figure: (0,1, 2) (2, e², 0)

15) Consider the vector field F (x, y, 2) = (In y, x, z) and the oriented curve C:r (t) = (t, e', 2 –- t), te [0,2] , as shown in the following figure: (0,1, 2) (2, e², 0)

Advanced Engineering Mathematics
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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15) Consider the vector field F (x, y, z) = (In y, x, z) and the oriented curve C :r (t) = (t, e', 2 – t), te [0, 2) , as shown in the following figure: (0,1,2) (2, e*, 0)
Transcribed Image Text:15) Consider the vector field F (x, y, z) = (In y, x, z) and the oriented curve C :r (t) = (t, e', 2 – t), te [0, 2) , as shown in the following figure: (0,1,2) (2, e*, 0)
To calculate F. dr It is necessary to determine the value of f (t) dt, Where: A) ƒ (t) = t +2 B) f (t) = 3t C) f (t) = Int + e2t +t – 2 D) ƒ (t) = 2t + te' – 2
Transcribed Image Text:To calculate F. dr It is necessary to determine the value of f (t) dt, Where: A) ƒ (t) = t +2 B) f (t) = 3t C) f (t) = Int + e2t +t – 2 D) ƒ (t) = 2t + te' – 2
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