Company 'X' has a new machine installed (a CNC Compression Spring Coiling Machine) to produce compression springs for use in applications such as Medical devices and Electronics. A. The force F required to compress a spring is: F = 1267x + 120x where 0.2 is the displacement from its unstretched length. The work done, W, by the machine to compress a spring by '150,000' m is given by X So Fdx Determine W. W = B. The value of the CNC machine is given by an exponential expression. Using Integration, show that V = xekt where 't' is time in years. Predict what you expect the curve of the graph for this expression to be and draw the graph using values for time (t) from 0 to 'five (5)' years. Compare your graph with your prediction. According to the company's equipment disposal policy, a decision is made to sell the machine when its value reaches one-sixth of the new value. Calculate, to the nearest month, the age of the machine at that time. i. ii. iii. iv.