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Multivariable & Vectorhard
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The vector field F⃗(x,y)=(3x2y,x3+sin⁡y)\vec{F}(x,y) = (3x^2 y, x^3 + \sin y)F(x,y)=(3x2y,x3+siny) is conservative. If f(0,0)=5f(0,0) = 5f(0,0)=5, find f(1,π2)f(1, \frac{\pi}{2})f(1,2π​).