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...
icon
Related questions
Question

Please show me step-by-step processes?

Thanks.

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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Perimeter
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning