Four wave functions are given below. III. IV. yx, t) = 5sin(4x - 20t+4) y(x, t)...
5. Listed below are mathematical representations of one-dimensional wave motion where I and y are in meters, t is in seconds, and the numerical values have appropriate units. Please carefully explain your reasoning for each part below. (Note that -3 <O< 2). 5 sin(x - 30) = 7 sin(31 - 9t) y = 9 sin(2 + 7t) D = 5 cos(4x + 14t) y = 14 sin(- 31 + 9 + 1 = 3 sin(-1 - 50) (0) Rank these...
t = 0 ms (a) (4 marks) A sinusoidal wave moving along a string is shown twice in the figure at time t = 0 (top) and time t = 4t (bottom). After At = 4.0 ms, the crest travels d=6.0 cm in the positive x direction. The equation for the wave is in the form 8 mm H HHHx y(x, t) =Ym sin(kx = wt). t = 4 ms What are (i) ym, (ii)k, (iii) w, and (iv) the...
consider two wave functions, y,(x, t) = 3.70 m sinl-m-"X-5π s-산 and 5 4 (a) Uslng a spreadsheet, plot the two wave functlons and the wave that results from the superposltlon of the two wave functions as a function of position (0.00 x 19.00 m) for the time t = 0.00 s x (m) x (m) 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 8 7 6 5 4 3 2...
5. For each of the rational functions below: 2x + 1 (a) f(x) = x2 (b) g(x) = 2 find 2 + 1 3.12 (c) h(x) = T .x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all r-intercept(s) (if any); (v) all y-intercept(s) (if any). Write yotir answers in the following table: ydir polynomial domain Vertical Asymptote Horizontal...