Between 2006 and 2016, the number of applications for patents, N, grew by about 4.6% per year. That is, N′(t)=0.046N(t). a) Find the function that satisfies this equation. Assume that t=0 corresponds to 2006, when approximately 457,000 patent applications were received. b) Estimate the number of patent applications in 2022.
Between 2006 and 2016, the number of applications for patents, N, grew by about 4.6% per year. That is, N′(t)=0.046N(t). a) Find the function that satisfies this equation. Assume that t=0 corresponds to 2006, when approximately 457,000 patent applications were received. b) Estimate the number of patent applications in 2022.
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 16TI: Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds....
Related questions
Question
Between 2006 and 2016, the number of applications for patents, N, grew by about 4.6%
per year. That is, N′(t)=0.046N(t).
per year. That is, N′(t)=0.046N(t).
|
a)
|
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Find the function that satisfies this equation. Assume that t=0 corresponds to
2006, when approximately 457,000 patent applications were received.
|
|
b)
|
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Estimate the number of patent applications in 2022. |
|
c)
|
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Estimate the rate of change in the number of patent applications in
2022.
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