Since we don't have the exact function, we can use a general form:
$$
F(x, y) = P(x, y) \hat{i} + Q(x, y) \hat{j}
$$
Now, let's find the divergence of F:
$$
\nabla \cdot F = \frac{\partial P}{\partial x} + \frac{\partial Q}{\partial y}
$$
(a) We can't
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