The equation of a transverse wave is given by: y(x, t)-3sin(kx 10t) both x and y are expressed in meters and t is expressed in seconds. the value of k is positive. (a) find the value of the frequency, the amplitude of the wave and the direction of the wave. (4 marks) (3 marks) the maximum transverse velocity? (3 marks) produce a standing wave. (1 marks) terms of a sine component which does not depend on ω and a cosine cornponent (b) it is known that the wave speed is 5 m/s. calculate the value of k and the wavelength. (c) calculate the transverse velocity of the above wave as a function of x and t. what is (d) write down the equation of a second wave, when added to the wave above, would (e) using the identity sin a+ sin b 2 sin(4+8) cos(a-8), express the standi which does not depend on k. (2 marks) () using the result in (e), determine the location of the nodes and antinodes in the standing wave.