Question

(1 point) Let F(x, y) = frac{-yi + xj}{x^2 + y^2} and let C be the circle r(t) = (cos t) i + (sin t) j, 0 le t le 2pi. A. Compute frac{partial Q}{partial x} Note: Your answer should be an expression of x and y; e.g. "3xy - y" B. Compute frac{partial P}{partial y} Note: Your answer should be an expression of x and y; e.g. "3xy - y" C. Compute int_C F cdot dr Note: Your answer should be a number D. Is F conservative in the whole xy-plane?

          (1 point) Let F(x, y) = frac{-yi + xj}{x^2 + y^2} and let C be the circle r(t) = (cos t) i + (sin t) j, 0 le t le 2pi.
A. Compute frac{partial Q}{partial x}
Note: Your answer should be an expression of x and y; e.g. "3xy - y"
B. Compute frac{partial P}{partial y}
Note: Your answer should be an expression of x and y; e.g. "3xy - y"
C. Compute int_C F cdot dr
Note: Your answer should be a number
D. Is F conservative in the whole xy-plane?

$(1 point) Let F(x, y) = frac-yi + xjx^2 + y^2 and let C be the circle r(t) = (cos t) i + (sin t) j, 0 le t le 2pi. A. Compute fracpartial Qpartial x Note: Your answer should be an expression of x and y; e.g. "3xy - y" B. Compute fracpartial Ppartial y Note: Your answer should be an expression of x and y; e.g. "3xy - y" C. Compute intC F cdot dr Note: Your answer should be a number D. Is F conservative in the whole xy-plane?$

Added by Anna K.

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