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[F-dr r(t) = (1-1²) i+(t+1)j + √1-tk for 0 ≤ t ≤ 1. (c) Evaluate F-dr where Cis

[F-dr r(t) = (1-1²) i+(t+1)j + √1-tk for 0 ≤ t ≤ 1. (c) Evaluate F-dr where Cis

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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C part Needed Needed to be solved only part C correctly in 30 minutes and get the thumbs up please show me neat and clean work for it by hand solution needed
13. Let F(x, y, z) = (ezsin x)i + 3y²j+ (re² + cos x)k. (a) Show that F is a conservative field. (b) Find a potential of F. (c) Evaluate Jo F-dr where Cis r(t) = (1-1²) i+(t+1)j + √1-tk for 0 ≤ t ≤ 1.
Transcribed Image Text:13. Let F(x, y, z) = (ezsin x)i + 3y²j+ (re² + cos x)k. (a) Show that F is a conservative field. (b) Find a potential of F. (c) Evaluate Jo F-dr where Cis r(t) = (1-1²) i+(t+1)j + √1-tk for 0 ≤ t ≤ 1.
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