Respuesta :
Answer:
Step-by-step explanation:
Given that the height of the plant f(n), in cm, after n days:
[tex]f(n) = 10(1.02)^n[/tex]
To find n when f(n) = 11.04 cm
[tex]11.04 = 10(1.04)^n\\n log 1.04= log 11.04 -log 10\\\\n=\frac{0.04296}{0.0170} \\=2.527[/tex]
i.e. in 2.5 days
2) n cannot go upto infinity
If maximum growth is h, then domain is (0, [tex]\frac{log h - log 10}{log 1.04}[/tex])
3) Put n=0
y intercept = 10 cm.
4) This gives the initial height of the plant i.e. when n =0
5) Average rate of change = 10(1.04)^n ln 1.04
6) n =1,2,3,4,5
n 1 2 3 4 5
f(n) 10.4 10.816 11.24864 11.6985856 12.16652902
(this is got by substituting n =1,2,3,4,5.
7) Avg rate of change in interval (a,b) = change in f(n)/change in n
