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Let F1(x,y)=y5−10xy+cos⁡yF _ { 1 } ( x , y ) = y ^ { 5 } - 10 x y + \cos y

Question 38

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Let F1(x,y)=y5−10xy+cos⁡yF _ { 1 } ( x , y ) = y ^ { 5 } - 10 x y + \cos y Find a function F2(x,y)F_{2}(x, y) , such that F⃗=F1i⃗+F2j⃗\vec{F}=F_{1} \vec{i}+F_{2} \vec{j} is a gradient field.

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