Two loudspeakers placed next to each other each emit a pure tone with the same amplitude. One speaker emits a tone with a frequency of 405.0 Hz, the other with a frequency of 410.0 Hz. A distant listener perceives a pure tone that has a single frequency, but varies in loudness with a perceived "beat." (a) What is the frequency (in Hz) of the pure tone perceived by the listener? (Round your answer to at least the nearest integer.) Hz
(b) What is the beat frequency (in Hz) perceived by the listener? Hz