Question

Between 2006 and 2016, the number of applications for​ patents, N, grew by about 3.4​% per...

Between 2006 and 2016, the number of applications for​ patents, N, grew by about

3.4​% per year. That​ is, N'(t)=0.034N(t).

​a)

Find the function that satisfies this equation. Assume that t=0
corresponds to 2006​, when approximately 456,000 patent applications were received.

​b)

Estimate the number of patent applications in 2020.

​c)

Estimate the rate of change in the number of patent applications in 2020.

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