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7.0 P(t) where t 1 + 5.4(1.2)-t/2'

7.0 P(t) where t 1 + 5.4(1.2)-t/2'

Calculus: Early Transcendentals
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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The number of research articles in a prominent journal that were written by researchers in Europe can be modeled by 7.0 P(t) = where t is time in years. The graphs of P, P', and P" are shown here. 1 + 5.4(1.2) )-t/2' Graph of P 5 4 3- 1 10 20 30 40 O Graph of P' P' 0.20 0.15 0.10 0.05 0.00 t 10 20 30 40 Graph of P" p" 0.010 0.005 0.000 . 10 20 30 40 -0.005 -0.010 Determine to the nearest whole number the values of t for which the graph of P is concave up and where it is concave down, and locate any points of inflection. concave up <t< concave down <t< point of inflection t = What does the point of inflection tell you about science articles? From the graph of P' we see that P' has a maximum at around t = , meaning that the number of articles written by researchers in Europe was increasing most rapidly at around t =
Transcribed Image Text:The number of research articles in a prominent journal that were written by researchers in Europe can be modeled by 7.0 P(t) = where t is time in years. The graphs of P, P', and P" are shown here. 1 + 5.4(1.2) )-t/2' Graph of P 5 4 3- 1 10 20 30 40 O Graph of P' P' 0.20 0.15 0.10 0.05 0.00 t 10 20 30 40 Graph of P" p" 0.010 0.005 0.000 . 10 20 30 40 -0.005 -0.010 Determine to the nearest whole number the values of t for which the graph of P is concave up and where it is concave down, and locate any points of inflection. concave up <t< concave down <t< point of inflection t = What does the point of inflection tell you about science articles? From the graph of P' we see that P' has a maximum at around t = , meaning that the number of articles written by researchers in Europe was increasing most rapidly at around t =
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