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Suppose we are given F. dr = 1 and | F • dr = −3. Calculate • dr given that ♬ C₁ is conservative (locally) on the domain between C and the curves C₁, C₂. Is F conservative on R2? Explain.

Suppose we are given F. dr = 1 and | F • dr = −3. Calculate • dr given that ♬ C₁ is conservative (locally) on the domain between C and the curves C₁, C₂. Is F conservative on R2? Explain.

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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Suppose we are given • dr = 1 and F• dr = -3. Calculate ₂F • dr = -3. Calculate F. dr given that F C₁ is conservative (locally) on the domain between C and the curves C₁, C₂. Is F conservative on R2? Explain. CV C₁. سے C₂
Transcribed Image Text:Suppose we are given • dr = 1 and F• dr = -3. Calculate ₂F • dr = -3. Calculate F. dr given that F C₁ is conservative (locally) on the domain between C and the curves C₁, C₂. Is F conservative on R2? Explain. CV C₁. سے C₂
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