The number of applications for patents, N. grew dramatically in recent years, with growth averaging about 4.4% per year. That is, N'(t) = 0.044N(t). Find the function that satisfies this equation. Assume that t= 0 corresponds to 1980, when approximately 120.000 patent applications were received. b) Estimate the number of patent applications in 2015. Estimate the doubling time for N(t).
The number of applications for patents, N. grew dramatically in recent years, with growth averaging about 4.4% per year. That is, N'(t) = 0.044N(t). Find the function that satisfies this equation. Assume that t= 0 corresponds to 1980, when approximately 120.000 patent applications were received. b) Estimate the number of patent applications in 2015. Estimate the doubling time for N(t).
Calculus: Early Transcendentals
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...
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 alt="The number of applications for patents, N. grew dramatically in recent yoars, with growth averaging about 4.4% per year. That is, N'(1) - 0.044N(1).
a)
Find the function that satisfies this equation. Assume that t=0 corresponds to 1980, when approximately 120,000 patent applications were received.
b)
Estimate the number of patent applications in 2015.
c)
Estimate the doubling time for N(t).
a) Choose the correct answer below.
A. N(t) = 120,.000 e00441
%3D
OB. N(t) = 120.0000 044 e
OC. N'(1) - 120,000 e00441
O D. N(t) = 0.044 e 120,0001
b) The number of patent applications in 2015 will be
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Transcribed Image Text:The number of applications for patents, N. grew dramatically in recent yoars, with growth averaging about 4.4% per year. That is, N'(1) - 0.044N(1).
a)
Find the function that satisfies this equation. Assume that t=0 corresponds to 1980, when approximately 120,000 patent applications were received.
b)
Estimate the number of patent applications in 2015.
c)
Estimate the doubling time for N(t).
a) Choose the correct answer below.
A. N(t) = 120,.000 e00441
%3D
OB. N(t) = 120.0000 044 e
OC. N'(1) - 120,000 e00441
O D. N(t) = 0.044 e 120,0001
b) The number of patent applications in 2015 will be
(Do not round until the final answer. Then round to the nearest integer as needed.)
Enter your answer in the answer box and then click Check Answer.
1 part
remaining
Clear All
start
P Type here to search
6.
DELL
F2
FB
F9
F10
Esc
F1
F3
F4
FS
F6
F7
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