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Let c be a circle of radius 9 centered at (0,0), traversed counterclockwise. use this curve to answer the questions below. (a) let f = y i + x j find a potential function. f(x, y) = xy does the fundamental theorem of line integrals apply to f · dr c ? does green's theorem apply to f · dr c ? (b) let g = y x2 + y2 i − x x2 + y2 j . find a potential function. g(x, y) = where is the potential function not defined? does the fundamental theorem of line integrals apply to g · dr c ? does green's theorem apply to g · dr c ? (c) let h = x x2 + y2 i + y x2 + y2 j . find a potential function. h(x, y) = where is the potential function not defined? does the fundamental theorem of line integrals apply to h · dr c ? does green's theorem apply to h · dr c ? submit answer save progress
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Let c be a circle of radius 9 centered at (0,0), traversed counterclockwise. use this curve to answe...
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