Consider a linear harmonic oscillator and let, yo and y, be its real, normalized ground and first excited state energy eigenfunctions respectively. Let Ayo + Byi with A and B real numbers be the
wave function of the oscillator at some instant of time. Show that the average value of x is in
different from zero. What values of A and B maximize (x) and what values minimize it?
general​

Afisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water. it takes a time of 2.20 s for the boat to travel from its highest point to its lowest, a total distance of 0.670 m . the fisherman sees that the wave crests are spaced a horizontal distance of 5.80 m apart. (a) how much is the wavelength? (b) find the period of the wave. (c) how fast are the waves traveling? (d) what is the amplitude a of each wave?