A particle of mass m moves on the x axis with potential energy V(x)= Eo/ a^4 (x^4 + 4ax^3 - 8a^2x^2)

a. Analytically determine the positions at which the particle is in stable equilibrium Plot (preferably using MATLAB) the potential to confirm your answers
b. Find the angular frequency of small oscillations about each equilibrium position. by small oscillations? Be quantitative and give a separate
c. What do you mean answer for each point of stable equilibrium

The space within which a test north pole experiences a force magnetic poles 2. a powerful stream of electrons flowing high above the earth in the ionosphere electrojet 3. a concept to explain the directional nature of a magnetic field field lines 4. coil of wire designed to produce a magnetic field by a current passing through its windings ionosphere 5. that region above the earth's atmosphere where particles exist in an ionized state magnetic field 6. the extremities of a magnet where the field lines tend to converge or concentrate aurora borealis 7. a phenomenon that occurs in the northern latitudes; the northern lights solenoid