Consider the vector field F (x, y) = (x- y) I– xj. Let C denote the curve parametrised by the vector function r(t) = (2t, t? + 1), for 0
Consider the vector field F (x, y) = (x- y) I– xj. Let C denote the curve parametrised by the vector function r(t) = (2t, t? + 1), for 0
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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Transcribed Image Text:Q10 – 5A Vector fields
Consider the vector field
F (x, y) = (x– y) I– xj.
Let C denote the curve parametrised by the vector function
r(t) = (2t, t2 + 1), for 0<t<1.
(a) Using the above parametrisation for C, the line integral ſc F · dr becomes
(b) The value of the line integral can be expressed as
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