A particle of mass, m, is constrained to oscillate in one dimension over the interval from 2b The particle is described by the wavefunction, 2b 0(x) = N cos(bx) , where b is a constant describing the nature of the particle's motion, and N is a normalization constant. a) Determine the value of N by normalizing (x) over the appropriate interval. N = b) Determine the expectation, or average value of x for this particle. (x=x ) 3c) Determine the uncertainty in the expectation value of x.