Let F(x, y) = (3+2xy²) i+2x²yj. Find a function f such that F = Vƒ and use it to evaluate F. dr where C is the arc of the hyperbola y = 1/x from (1, 1) to (4,1/4).
Let F(x, y) = (3+2xy²) i+2x²yj. Find a function f such that F = Vƒ and use it to evaluate F. dr where C is the arc of the hyperbola y = 1/x from (1, 1) to (4,1/4).
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) = (3 + 2xy²) **i** + 2x²y **j**. Find a function *f* such that **F** = ∇*f* and use it to evaluate ∫ₚ **F** · d**r** where *C* is the arc of the hyperbola y = 1/x from (1, 1) to (4, 1/4).
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