You have light that is linearly polarized with an intensity of 1 W/m^2, and its electric field is aligned along the y-axis. There are four filters available, each with its polarization axis at angles of 10, 25, 30, and 50 relative to the y-axis. You can arrange these filters in any sequence, but the light must pass through all four of them.

(a) Determine the sequence of filters that MINIMIZES the transmitted light intensity and calculate this minimum intensity. (b) Determine the sequence of filters that MAXIMIZES the transmitted light intensity and calculate this maximum intensity. (c) For the sequence that yields the maximum intensity in part (b), demonstrate that removing any of the first three filters will DECREASE the transmitted light intensity. This means the only filter that can be removed to increase transmission is the fourth filter.