Question

After t minutes of growth, a certain bacterial culture has a mass, in grams, of M(t) 􏰀=t^2.
a. How much does the bacterial culture grow during the time 3􏰄<t􏰄<3.01?
b. What is its average rate of growth during the time interval 3􏰄<t􏰄<3.01?
c. What is its rate of growth when t􏰀=3?

****Full solutions to please because I do not know what I'm doing and so confused with calculus

Answer 1

your symbols came out strange.

Is 3􏰄<t􏰄<3.01 supposed to say

3 ≤ t ≤ 3.01 ?

Answer 2

yes

Answer 3

1- m(t)= t^2
- m(3)= 3^2= 9
- m(3.01)= 3.01^2 =9.0601
- 9.0601-9=0.0601