Let f: R² → R be a continuously differentiable function. Let F= Vf. Let r(t) = semicircular path with parametrization r (t) for t € [0, π]. Let C′ be the counterclockwise semicircular path with parametrization r(t) for t = [T, 2π]. Suppose that fF.dr = 3. What is fF.dr? It must be 3. It must be -3. It must be 0. cost sint There is not enough information to determine its value. Let C be the counterclockwise

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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=
Vf. Letr (t) = (cost).
sin
Let ƒ : R² → R be a continuously differentiable function. Let F
semicircular path with parametrization r (t) for t = [0, π]. Let C' be the counterclockwise semicircular path with
parametrization r(t) for t € [π, 2π]. Suppose that fF.dr
3. What is fF.dr?
It must be 3.
It must be -3.
It must be 0.
=
There is not enough information to determine its value.
Let C be the counterclockwise
Transcribed Image Text:= Vf. Letr (t) = (cost). sin Let ƒ : R² → R be a continuously differentiable function. Let F semicircular path with parametrization r (t) for t = [0, π]. Let C' be the counterclockwise semicircular path with parametrization r(t) for t € [π, 2π]. Suppose that fF.dr 3. What is fF.dr? It must be 3. It must be -3. It must be 0. = There is not enough information to determine its value. Let C be the counterclockwise
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