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1) Show that F is conservative the find a function f such that F = Vf and use that function to evaluate , F. dr along the given curve C. F = (y²z + 2xz?)i + 2xyzj + (xy? + 2x²z)k, C:x = VE, y = t + 1, z = t?,0

1) Show that F is conservative the find a function f such that F = Vf and use that function to evaluate , F. dr along the given curve C. F = (y²z + 2xz?)i + 2xyzj + (xy? + 2x²z)k, C:x = VE, y = t + 1, z = t?,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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1) Show that F is conservative the find a function f such that F = Vf and use that function to evaluate f, F. dr along the given curve C. F = (y²z + 2xz?)i + 2xyzj + (xy? + 2x²z)k, C:x = VE, y = t + 1, z = t?,0 <t<1
Transcribed Image Text:1) Show that F is conservative the find a function f such that F = Vf and use that function to evaluate f, F. dr along the given curve C. F = (y²z + 2xz?)i + 2xyzj + (xy? + 2x²z)k, C:x = VE, y = t + 1, z = t?,0 <t<1
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