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=p^(')p^(')t=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=
concave down
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=
The number of research articles in a prominent journal that were written by researchers in Europe can be modeled by P(t)
7,0
Graph of P
P 7r
Graph of P'
p' 0.20r
Graph of p"
p" 0.010
6
5
0.15
0.005
0.10
0.000
10
20
30
40
0.05
0.005
10
20
30
't 4
00'0 d..
0
10
20
30
-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 >> concave down >> point of inflection
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 =