* I want a 100% correct solution.

* I don't want a wrong solution, please I want to simplify the solution as much as possible

* I want a complete solution

* I want clear writing, I prefer it in Microsoft Word, or by hand

Task 4 A support beam is subjected to vibrations along its length, emanating from two machines situated at opposite ends of the beam. The displacement caused by the vibrations can be modelled by the following equations,x1 = 3.?5 sin (lut + 2%: mm x, = 4.42 sin (mum: 3\" mm 5 a. State the amplitude, phase, frequency and periodic time of each ofthese waves. b. 1When both machines are switched on, how many seconds does it take for each machine to produce its maximum displacement? c. At what time does each vibration rst reach a displacement of 2mm? d. Use the compound angle formulae to expand x1 and 1:2 into the form A sin Int i 3 cos I'D tint, where A and B are numbers to be found. e. Using your answers from part d, express (x1 + x2), [ 2x1 4x2), and (x1 + 172:": 2x1 41:2) in a similar forms. Convert this expression into the equivalent forms of R sin(1rtbt + a). f. Express the lth term of { x1 + 3:2)\" in terms ofsinusoidal functions (sin, oos). g. Using appropriate spreadsheet software, copy and complete the following table of values: um ------------ h. Plot the graphs of 3:1 and x; on the same axes using any suitable oomputer package. Extend your table to include :71 + :2 , x1 x2 , and plot these graphs on the same axes as the previous two. State the amplitude and frequency of the new wave. Repeat for e and .f. i. Using your answers from parts g and h, what conclusions can be drawn about 1'1 + x2 and the two methods that were used to obtain this information