Consider the function u(e) =(£2 - 1)2 for £e-1. 1. compute the values of the (composite) trapezoidal rule for equidistant points, and 2,3 and 5 points. construct the corresponding romberg tableau r, lectures. show that exactly one of the 3 computed values is exact. give the reason why this is the case. (hint: this follows from the euler-maclaurin formula.)

Assume that two of the electrons at the negative terminal have attached themselves to a nearby neutral atom. there is now a negative ion with a charge -2e at this terminal. what are the electric potential and electric potential energy of the negative ion relative to the electron? the electric potential and the electric potential energy are both twice as much. the electric potential is twice as much and the electric potential energy is the same. the electric potential is the same and the electric potential energy is twice as much. the electric potential and the electric potential energy are both the same. the electric potential is the same and the electric potential energy is increased by the mass ratio of the oxygen ion to the electron. the electric potential is twice as much and the electric potential energy is increased by the mass ratio of the oxygen ion to the electron.