Reputation: 966
I have this problem (first picture) that gets a wrong plot in the red dashed line in the second picture, while it should get the plot with the solid blue line, which is in the third picture, which I got from Chegg.com.
I figured out with some help that 18.7*exp(-0.0193*t) diminishes to nearly 0. Therefore the divisor (1+18.7*exp(-0.0193*t)) will always be practically a value of 1, and P will always be practically 11.5.
Here is my script:
x1 = [1850, 1910, 1950, 1980, 2000, 2010];
y1 = [1.3, 1.75, 3, 4.4, 6, 6.8];
x2 = [1900:10:2200];
P = 11.55./(1+18.7*exp(-0.0193*x2))
plot(x1, y1, 'g*', x2, P, '--r')
Here's the results of the Command Window:
P =
Columns 1 through 11
11.5500 11.5500 11.5500 11.5500 11.5500 11.5500 11.5500 11.5500 11.5500 11.5500 11.5500
Columns 12 through 22
11.5500 11.5500 11.5500 11.5500 11.5500 11.5500 11.5500 11.5500 11.5500 11.5500 11.5500
Columns 23 through 31
11.5500 11.5500 11.5500 11.5500 11.5500 11.5500 11.5500 11.5500 11.5500
Problem:
My plot:
Chegg plot:
Upvotes: 0
Views: 40
Reputation: 60504
The text says "t is in years since 1850". So I think you need to do:
P = 11.55./(1+18.7*exp(-0.0193* (x2-1850) )
^^^^^^^
You are plotting the tail of the function only, rather than the interesting part.
Upvotes: 2