Please note, Keyboard Sensitive system.

Include a clear detailed solution with the formulas used in each step.

make sure that your answer is accurate in a standard form and in scientific notation as well.

2. (20pts) A standing wave results from the sum of two transverse traveling waves given by H = 0.050 cos(sx 4st) and y; = 0.050 cos(:~r:r + 41:!) . where x, Y1, and y2 are in meters and t is in seconds. (a) What is the smallest positive value of x that corresponds to a node? Beginning at 1': 0, what is the value of the (b) rst, (c) second, and (d) third time the particle at x = 0 has zero velocity