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Show that vector field F(x,y) = 2x cos yi + (1 - zsiny) is a gradient field and then find the function f(x,y) such that F = V
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Page Giren that FINLY) = 2x Cosy i + (1-x²siny) i We have to find & such that . and given G is n² + y2 = 1 from (20) to (0, 2f = Zusy + ply) > r- xosy + y + c Ana x² Cosy ty Catet (2*00449) ALL ht } is a gradient field because there is a & scalur fun

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