A solution to the wave equation that we've obtained was E = 22 sin(wt - Bz) Assuming that the frequency is 6 MHz and that the phase constant israd/m: a) Plot E versus time at z = 0. Use the plot to find the time period. b) Plot E versus distance z at time t =0. Use the plot to determine the wavelength (Hint: you'll need to think about the appropriate spacing and range for the array z) c) Plot E as a function of both z and t (i.e. 2D plot). Can you use this plot to find the wave velocity? (Hint: in this case E depends on both z and t, so instead of just being an array of size I by N, E now will be a matrix of size (M by N), where M and N are the dimension of the time and z-axis variables, respectively. You can use the functions 'meshgrid' and 'mesh' to define the variables and output a 3D plot of E. Alternatively, you can use a for loop' to calculate E(t) at each z point: E(:, cc) = 100 sin(w. t - B.* z(cc)), to plot the function then you can use 'imagesc' for a 2d plot and write colorbar' to include a colorbar.)