Three different companies were compared in regard to their power consumption in the first year of operation. Their power consumption in MegaWatts was recorded and approximated with the following functions: Company 1: C1= 2ln (M + 10) Company 2: C2 = -0.5M + 10M - 8 Company 3: C3 = 20 sin (M )+22 a) Sketch or present using software, the power consumption of each company between 1st and 12th month of operation. b) Using differential method, determine which company had the highest increase rate (rate of change) in power consumption after 6 months of operation. c) Use integral calculus, compare the total energy consumed by Company 2 and Company 3 between the 5th and the 10th month. d) Using higher order derivatives, find when (if ever) in the first 18 months of operation the power consumption of those companies would reach its highest point and when (if ever) in the first 18 months it would be predicted to fall to the minimum.