Between 2006 and 2016, the nurmber of applications for patents, N, grew by about 3.6% per year. That is, N'(1) = 0 036N(1). a) b) c) Find the function that satisfies this equation. Assume that t 0 corresponds to 2006, when approximately 458,000 pa Estimate the nurnber of patent applications in 2022 Estimate the rate of change in the number of patent applications in 2022. a) N(1)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Between 2006 and 2016, the nurmber of applications for patents, N, grew by about 3.6% per year. That is, N'(1) = 0.036N(1).
a)
Find the function that satisfies this equation. Assume that t=0 corresponds to 2006, when approximately 458,000 patent applications were received
b)
Estimate the nurnber of patent applications in 2022.
c)
Estimate the rate of change in the number of patent applications in 2022.
a) N(1) =
b) The number of patent applications in 2022 will be
(Round to the nearest whole number as needed.)
c) The rate of change in the number of patent applications in 2022 is about
(Round to the nearest whole number as needed.)
Transcribed Image Text:Between 2006 and 2016, the nurmber of applications for patents, N, grew by about 3.6% per year. That is, N'(1) = 0.036N(1). a) Find the function that satisfies this equation. Assume that t=0 corresponds to 2006, when approximately 458,000 patent applications were received b) Estimate the nurnber of patent applications in 2022. c) Estimate the rate of change in the number of patent applications in 2022. a) N(1) = b) The number of patent applications in 2022 will be (Round to the nearest whole number as needed.) c) The rate of change in the number of patent applications in 2022 is about (Round to the nearest whole number as needed.)
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