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Please help me with the attached file.
1. Find the absolute extrema of the function 3 f x x x ( ) 3 = − on the interval [–10, 0].Â
MATH 1325
CALCULUS FOR BUSINESS AND SOCIAL SCIENCES
Lab 3 – Applications of the Derivative NAME__________________________ Instructions: Please show all work, and write your solutions to the problems neatly on this handout. Draw box
around your final answer. If you need help, please feel free to consult with me or go to the Math Lab and ask for
assistance.
1. Find the absolute extrema of the function f ( x) = x3 − 3 x on the interval [–10, 0]. The absolute MAXIMUM occurs at the point: ___________________
The absolute MINIMUM occurs at the point: ___________________
2. The total profit (in hundreds of dollars) from the sale of x hundred boxes of candy is given by
P ( x) = − x3 + 10 x 2 − 12 x .
a) Find the number of boxes of candy that should be sold in order to maximize profit. b) What is the maximum profit? 3
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