Between 2006 and 2016, the number of applications for patents, N, grew by about 4.9% per year. That is, N'(t) = 0.049N(t). a) Find the function that satisfies this equation. Assume that t= 0 corresponds to 2006, when approximately 445,000 patent applications were received. b) Estimate the number of patent applications in 2022. Estimate the rate of change in the number of patent applications in 2022. c) a) N(t) =

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
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Between 2006 and 2016, the number of applications for patents, N, grew by about 4.9% per year. That is, N'(t) = 0.049N(t).
a)
Find the function that satisfies this equation. Assume that t= 0 corresponds to 2006, when approximately 445,000 patent applications were received.
Estimate the number of patent applications in 2022.
b)
Estimate the rate of change in the number of patent applications in 2022.
c)
a) N(t) =|
Transcribed Image Text:Between 2006 and 2016, the number of applications for patents, N, grew by about 4.9% per year. That is, N'(t) = 0.049N(t). a) Find the function that satisfies this equation. Assume that t= 0 corresponds to 2006, when approximately 445,000 patent applications were received. Estimate the number of patent applications in 2022. b) Estimate the rate of change in the number of patent applications in 2022. c) a) N(t) =|
Expert Solution
Step 1

Given:

N'(t)=0.049 N(t)Therefore:dNdt=0.049 N

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