(1 point) Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x, y) whose differential, dF(x, y) is the left hand side of the differential equation. That is, level curves F(x, y)=C are solutions to the differential equation: (−4x2−1y)dx+(−2x−2y2)dy=0

Since, then the given equation is not exact.

Step-by-step explanation:

Consider the differential equation

Let's recall that the differential equation must choose the form Mdx + Ndy = 0 is exact; given that it satisfies the below proposition.

where;

M = and N = in the given equation.

Thus; to calculate;

and

and

Since, then the given equation is not exact.

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.