In 1979, the typical microcomputer contained 29 thousand transistors, while in 1993, a typical microcomputer contained 3.1 million transistors.
a. Assuming natural growth, find a function giving the number N(t) of transistors in a typical microcomputer t years after 1979.
b. Find the annual growth rate r in part (a), expressed as a percentage.
c. At this rate, how many months does it take to double the number of transistors in a typical microcomputer?
d.Assuming this annual rate of increase continues, how many transistors (rounded off accurate to the nearest million) did the typical microcomputer contain in the year 2001?
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