Practice Problem 7 Consider F and C below. 1 F(x, y) = (4 + 2xy²)i + 2x²yj, Cis the arc of the hyperbola y = X (a) Find a function f such that F = Vf. f(x, y) = (b) Use part (a) to evaluate F. dr along the given curve C. С 1) to (2, -1/-) from (1, 1) to 2,

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Practice Problem 7
Consider F and C below.
1
F(x, y) = (4+ 2xy²)i + 2x²yj, C is the arc of the hyperbola y =
X
(a) Find a function f such that F = Vf.
f(x, y) =
(b) Use part (a) to evaluate F. dr along the given curve C.
Ic
1) to (2, 1/7)
from (1, 1) to 2,
Transcribed Image Text:Practice Problem 7 Consider F and C below. 1 F(x, y) = (4+ 2xy²)i + 2x²yj, C is the arc of the hyperbola y = X (a) Find a function f such that F = Vf. f(x, y) = (b) Use part (a) to evaluate F. dr along the given curve C. Ic 1) to (2, 1/7) from (1, 1) to 2,
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