A long string is fixed at one end and a standing wave is generated with a mechanical oscillator attached at one end. The opposite end of the string can be considered as a node, and treat it as the x = 0 point. The distance between adjacent nodes on the string is 20.0 cm, and an antinode oscillates with a period of 0.659 s and an amplitude of 0.550 cm. (a) Find the displacement of a point on the string as a function of position and time (that is, find y(x,t)). (b) Find the speed of a transverse wave in the string. (c) Find the amplitude of motion for a point 4.00 cm from an antinode. Pay close attention to significant figures on this.