(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.

step-by-step explanation:

i think you should think about the question and not look online.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.