Question content area topPart 1Between20062006and 2016, the number of applications for patents, N, grew by about3.53.5%per year. That is,Upper N prime left parenthesis t right parenthesisN′(t)equals=0.0350.035Upper N left parenthesis t right parenthesisN(t). a) Find the function that satisfies this equation. Assume thattequals=0corresponds to20062006,when approximately452 comma 000452,000patent applications were received.b) Estimate the number of patent applications in20202020.c) Estimate the rate of change in the number of patent applications in20202020. Between 2006 and 2016, the number of applications for patents, N, grew by about 3.5% per year. That is, N'(t) = 0.035N(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 2020.c)Estimate the rate of change in the number of patent applications in 2020.

Answered: Image /qna-images/answer/b45bf392-e358-4316-84bf-1e0ea496d901.jpg

Answered: Between 2006 and 2016, the number of…

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

Between

20062006

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

3.53.5%

per year. That is,

Upper N prime left parenthesis t right parenthesisN′(t)equals=0.0350.035Upper N left parenthesis t right parenthesisN(t).

a)		Find the function that satisfies this equation. Assume that tequals=0 corresponds to 20062006, when approximately 452 comma 000452,000 patent applications were received.
b)		Estimate the number of patent applications in 20202020.
c)		Estimate the rate of change in the number of patent applications in 20202020.