Consider the vector field given by F(x, y) = (6xy – 152 y)i + (3a? + 3y – 10a°y)j find a function f(x.y) such that F = Vf.Calculate | F.dr, where C is any length that connects the points A(1, –2) and B(0,3) in that order.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the vector field given by
F(x, y) = (6xy – 15a²y?)i + (3x² + 3y? – 10a y)j
find a function f(x.y) such that F = Vf.Calculate
| F.dr, where C is any length that connects the points
А(1,-2) аnd В (0, 3) in that order.
Transcribed Image Text:Consider the vector field given by F(x, y) = (6xy – 15a²y?)i + (3x² + 3y? – 10a y)j find a function f(x.y) such that F = Vf.Calculate | F.dr, where C is any length that connects the points А(1,-2) аnd В (0, 3) in that order.
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