H (1) What are the moving directions of given points? (answer "+\" for moving up, " for moving down, and \"0\" if not moving) [4] A. ; B. ; C. ; D. (2) Please use the anglesum identity to show the relation. [5] Answer: (3) What regression analysis should be used? What do the graph's slope and y-intercept mean and how can one read out p from them? [5] Answer: (4) Compute the ratio and fill in the table below. [4] f2/f1 f3/f2 falf3 fs/f4(5) How should we change the parameters? (answer \"increase\" or \"decrease\" and explain your reason) [12] i. oscillation frequency [1]. Reason [2]: ii. string tension [1]. Reason [2]: iii. string mass density [1]. Reason [2]: iv. string length [1]. Reason [2]: \fThe wand-down mom 0" the TOP! Direction of wave )- is perpendicular to the direction 0! the wave. Figure 1: Generating transverse waves on a string Question (write down the answers in Pre-lab) (1) Regarding the transverse wave in Figure 1, what are the moving directions of points A, B, C, and D? (answer \"+\" for moving up, "\" for moving down, and "0\" if not moving) (2) Apply the angle sum and difference identities on Eqs. (1) and [2) and derive Eq. (5), which is y+(x, t) + y_(x, t) = 2A cos(27tft) sin (2775:) (3) If a student varies a string's tension T and measures its wave velocity 17, what regression analysis should be used to get the strings linear density ,u? What do the graph's slope and y-intercept mean and how can one read out p from them? (4) Regarding a string with constant tension T and linear density .11, please calculate the ratio of standing wave frequency between adjacent harmonic modes fz/fl, fg/fz, f4/f3 and fs/L. (5) Regarding the standing wave in Figure 2, if you want to decrease the node number by 1 by changing only one of the four quantities(i) oscillation frequency, (ii) string tension, (iii) string linear density, and (iv) string lengthhow should you do it and what is your reason? (Answer \"increase" or "decrease\" and explain your reason.)