1 Find the absolute maximum and minimum values of each function over the indicated interval, and indicate the x-values at which they occur.

f(x)=3x42x3, [2,2]

The absolute maximum value is_ at x=_

The absolute minimum value is_ at x=_

(Use a comma to separate answers as needed.)

2 An employee's monthly productivity M, in number of units produced, is found to be a function of the number t of years of service. For a certain product, a productivity function is shown below. Find the maximum productivity and the year in which it is achieved.

M(t)=2t2+84t+120, 0t40

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The maximum productivity is achieved in year is ?

The maximum productivity is ? units

3 For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is approximated by the function below. Find the maximum blood pressure and the dosage at which it occurs

B(x)=385x23850x3,0x0.10

The maximum is obtained for a dosage of

(Round to two decimal places as needed.)

The maximum blood pressure obtained is

(Round to two decimal places as needed.)