Let F(x, y, z) = (6x5 ln(5y² + 3) + 3z7)i + (· +6z)j + (21xz6 + 6y − 3ä sin íz) k 10yx6 + and let r(t) = (t³ + 1)i + (t² + 2)j + ♬³ k, 0 ≤ t ≤ 1. Evaluate fF.dr.
Let F(x, y, z) = (6x5 ln(5y² + 3) + 3z7)i + (· +6z)j + (21xz6 + 6y − 3ä sin íz) k 10yx6 + and let r(t) = (t³ + 1)i + (t² + 2)j + ♬³ k, 0 ≤ t ≤ 1. Evaluate fF.dr.
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:Let
F(x, y, z) =
=
and let r(t) =
Evaluate S
10yx6
(6x5 ln(5y² + 3) + 3z7)i + ( +6z)j + (21xz6 + 6y − 3л sin лz) k
5y² + 3
(t³ + 1)i + (t² + 2) j + f³ k, 0 ≤ t ≤ 1.
F.dr.
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