Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point. Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.

The number of fish in a small bay is modeled by the function F defined by F(t)=10(t3â12t2+45t+100), where t is measured in days and 0â¤tâ¤8.

a. Using correct units, interpret the meaning of Fâ²(4)=â30 in the context of the problem.
b. Based on the model, what is the absolute minimum number of fish in the bay over the time interval 0â¤tâ¤8 ? Justify your answer.
c. For what values of t, 0â¤tâ¤8, is the rate of change of the number of fish in the bay decreasing?