A) let 0产 t= 2 where \phi is the azimuthal angle between 0 and 2\pi. is \widehat{t} hermitian? if it is, find its eigenfunctions and eigenvalues if not why?
b) let 0产 2 do the same as in part a

Arunner is training for an upcoming marathon by running around a 100-m-diameter circular track at constant speed. let a coordinate system have its origin at the center of the circle with the x-axis pointing east and the y-axis north. the runner starts at (x, y) = (50 m, 0 m) and runs 2.5 times around the track in a clockwise direction.

Aperson walks first at a constant speed of 4.89 m/s along a straight line from point a to point b and then back along the line from b to a at a constant speed of 2.95 m/s. what is the average speed over the entire trip?

Glass has a hardness that is in the middle of the hardness scale. what is the hardness of glass?