Between 2006 and 2016, the number of applications for patents, N, grew by about 4.3% per...

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Between 2006 and 2016, the number of applications for patents, N, grew by about 4.3% per year. That is, N'(t) = 0.043N(t). a) Find the function that satisfies this equation. Assume that t = 0 corresponds to 2006, when approximately 452,000 patent applications were received. b) Estimate the number of patent applications in 2022. c) Estimate the rate of change in the number of patent applications in 2022. Between 2006 and 2016, the number of applications for patents, N, grew by about 4.3% per year. That is, N'(t) = 0.043N(t). a) Find the function that satisfies this equation. Assume that t = 0 corresponds to 2006, when approximately 452,000 patent applications were received. b) Estimate the number of patent applications in 2022. c) Estimate the rate of change in the number of patent applications in 2022.

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To solve this problem well use the differential equation Nt 0043Nt a Finding the function Nt that sa... View the full answer