1. (a) Sketch the graph of the function
g(t) = 30(1− e−0.24t)
for t ≥ 0 indicating clearly the values of g(t) at t = 0, 5, 10, 15, 20, 25. What is the limiting value of g(t) as t becomes infinitely large
You should try it yourself using this very good graphing calculator. If you don't understand something, then ask Melody or CPhill to explain it to you.
https://www.desmos.com/calculator
I assume this is g(t) = 30[1− e^(−0.24t) ]
If so....here's the graph using "y" instead of g(t) : https://www.desmos.com/calculator/bmr4y4mctj
Here are the values associated with the various t values {0., 20.9642, 27.2785, 29.1803, 29.7531, 29.9256}
It we let t get extremely large........the term e^(-0.24t) approaches 0
So....... 30 [ 1 - 0 ] = 30 [1] = 30
The graph shows this as well.......