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