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CalCDanG
15.07.2019 •
Mathematics
The number of applications for patents, n, grew dramatically in recent years, with growth averaging about 3.43.4% per year. that is, upper n prime left parenthesis t right parenthesisn′(t)equals=0.0340.034upper n left parenthesis t right parenthesisn(t). a) find the function that satisfies this equation. assume that tequals=0 corresponds to 19801980, when approximately 110 comma 000110,000 patent applications were received. b) estimate the number of patent applications in 20152015. c) estimate the doubling time for upper n left parenthesis t right parenthesisn(t).
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Ответ:
Part A:
The function that satisfies the equation given that that t = 0 corresponds to 1980, when approximately 110,000 patent applications were received is given by:
where, N(t) is the number of patent applications received at any particular year, t is the number of years after 1980.
Part B:
In 2015, there are 2015 - 1980 = 35 years after 1980.
The number of patent applications 35 years after 1980 is given by:
Part C:
The doubling time for N(t) is the time it takes the number of patents to be 2(110,000) = 220,000
Therefore, the doubling time for N(t) is approximately 21 years.
Ответ:
2(x-10) exponet 2
Step-by-step explanation:
I dont really wanna do a explantion cuz its kida confusiong