For each of the following vector fields f, decide whether it is conservative or not by computing the appropriate first order partial derivatives. type in a potential function f (that is, nabla f = f) with f(0,0) = 0. if it is not conservative, type n.

a f (x, y) = (6x - 2y)i + (-2x + 8y)j f (x, y) =
b. f (x, y) = 3yi + 4xj f (x, y) =
c. f (x, y) -= (3siny)i + (-4y + 3x cosy)j f(x, y) =
note: your answers should be either expressions of x and y (e. g. 3xy + 2y). or the letter n

answer: idk

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

believe it or not anna is correct good job anna give me a fist bump there u go gal

i would say true? if the unit was informational and it "refreshed your understanding", then true.