A student connects a light bulb directly to an electric cell using connecting wires. She notices that the light bulb lights up. Is anything missing? Why would you consider the missing part necessary?

Let f(x) = x4- 8x2 . find the relativeextrema of this function using the second derivative test.

How would you place two electrons on a sphere of radius r so that the electrostatic potential energy is minimized. how would you place three electrons to solve the same problem.

Calculate the heat capacity per object when the total energy is 4 quanta. (think of this in terms of increasing from 3.5 quanta of energy in the system to 4.5 quanta of energy in the system, if that were possible.) c4 = __ j/k/object