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