Question 15, 14.3.93 HW Score: 51.67%, 7.75 of 15 Part 1 of 9 points O Points: 0 of 1 Save Traveling waves (for example, water waves or electromagnetic waves) exhibit periodic motion in both time and position. In one dimension (for example, a wave on a string), wave motion is governed by the one-dimensional wave equation below, where u(x,t) is the height or displacement of the wave surface at position x and time t, and c is the constant speed of the wave. Show that u(x,t) given below is a solution of the wave equation. azu , u(x,t) =2 cos (3(x + ct)) + 7 sin (x - ct) 212 2x 2 . . . What is the first step in showing that u(x,t) is a solution of the wave equation? O A. Multiply u(x, t) by c2. O B. Factor u(x,t). 2 2 u O c. Calculate the left side of the wave equation, #+ 2 by first calculating ax a2 u du O D. Calculate the left side of the wave equation, 24 2 , by first calculating at