The message m(t) is applied to a frequency modulator with sensitivity 7.8 Hz/N and unmodulated carrier frequency of 2000 Hz.
m(t) = 2.3t - ut - 2.5
Find the peak frequency deviation defined as the maximum deviation from the unmodulated carrier frequency. The answer should be a number rounded to 5 decimal digits. The minus sign is accepted while other symbols like % are not.