Determine whether or not f is a conservative vector field. if it is, find a function f such that f = ∇
f. if it is not, enter none. f(x, y) = ex sin y i ex cos y j

G(x,y) = e^xsin(y)
then
f(x,y) = del (g) = d/dx(g) i + d/dy(g) j
it does work out

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.