Problem 2 (25 points total ) [from Wiki] Moore's law describes a long-term trend in the history of computing hardware, in which the number of transistors that can be placed inexpensively on an integrated circuit has doubled approximately every two years. Check the entry on Moore's law on Wiki to learn more about this phenomenon. 5 a. (15 points) Use the data set in Table 2 to predict the number of transistors in year 2012 using i) Trendline and ii) functions SLOPE and INTERCEPT in Excel. For approach ii) you would have to linearize the data (you can linearize for approach i) as well, if you wish). Assume that the data follow an exponential trend, i.e., T=aexp(bY), where a and b are constants and T and Y are the numbers of transistors and year, respectively. b. (10 points) Prove that the number of transistors approximately doubles every two years. In answering this part, do not use the individual data from Table 2. Instead, use the function you obtained in part a). (Hint: use ratio of T(Y+2)/T(Y) )