F(x, y, z) = yzeX²i + e×zj + xyexZk, C: r(t) = (t2 + 1)i + (t² – 1)j + (t² – 4t)k, %3D 0
F(x, y, z) = yzeX²i + e×zj + xyexZk, C: r(t) = (t2 + 1)i + (t² – 1)j + (t² – 4t)k, %3D 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:Consider F and C below.
F(x, у, 2) %3D yzе^?i + extj + хуеX-k,
C: r(t) = (t2 + 1)i + (t2 – 1)j + (t2 – 4t)k,
0 <t < 4
(a) Find a function f such that F
Vf.
f(x, у, 2) 3
(b) Use part (a) to evaluate
F• dr along the given curve C.
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