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The vector field F with rightwards arrow on top left parenthesis x comma y right parenthesis...

The vector field F with rightwards arrow on top left parenthesis x comma y right parenthesis equals open angle brackets s e c squared x comma space 3 y squared close angle brackets is conservative.
Find f left parenthesis x comma y right parenthesis such that F with rightwards arrow on top equals nabla f .

   a.  
f equals 2 space s e c x plus 6 y

    b.  
f equals y tan x plus x y cubed

    c.  
f equals y cubed minus tan x

    d.  
f equals fraction numerator y cubed tan x over denominator 3 end fraction

    e.  
f equals tan x plus y cubed

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