Confirm that the force field F(x, y) = 2xy'i + 3x?y?j is conservative in some open connected region containing the points P(-9,4) and Q(6,1), and then find the work done by the force field on a particle moving along an arbitrary smooth curve in the region from P to Q. NOTE: Enter the exact answer. W

A particle moves in a potential given by U(x) = -7 x3 + 2.1 x (J).  Calculate the location of the stable equilibrium of this potential, in m. (Please answer to the fourth decimal place - i.e 14.3225)

Problem 6.56 A force with magnitude given by F = a/a – bx² acts in the x-direction, where a = 27.3 N · m-1/2and b = 3.27 N/m², Part A Find the work this force does on an object moving from x = 0 to x = 2.00 m. Express your answer with the appropriate units. Templates Symbolš uado redo reset keyboard shortcuts help, Wo→2.00 = Value Units Submit Request Answer Part B Find the work this force does on an object moving from x = 2.00 m to x = 3.75 m. Express your answer with the appropriate units. Templates Symbols undo redo reset keyboard shortcuts help W2.00→3.75 = Value Units Submit Request Answer

solve for the table , show work.