Advanced physics

When two sinusoidal waves travel through the same medium, a third wave is formed that is the sum of the two original waves. If the two waves have slightly different frequencies, the sum of the waves results in an interference pattern known as a beat Musicians use this idea when tuning an instrument with the aid of a tuning fork. If the instrument and the tuning fork play the same frequency, no beat is heard. Suppose two waves given by the functions y1 =3 cos (wit) and y2 - 3 cos (@,(), where , > , pass through the same medium, and each has a maximum at 1=0 sec. Complete parts (a) through (c) (a) How long does it take the sum function ya =y, + y, to equal 0 for the first time? The sum function ya = y, + y2 will equal 0 for the first time when ( = (b) If the periods of the two functions y, and y, are T, = 13 sec and To = 14 sec, respectively, find the first time the sum y3 = y1 + y> =0 The first time the sum y; is 0 is approximately seconds (Type an integer or decimal rounded to two decimal places as needed)