Question

Find the open intervals where the function is increasing or decreasing. ?(?) = 4?3 −18?2 +2...

  1. Find the open intervals where the function is increasing or decreasing. ?(?) = 4?3 −18?2 +2

SOLUTION: increasing on (−∞,0)∪(3,∞); decreasing on (0,3)

  1. If the total revenue for a blender is ?(?) = 40? −0.1?2, find the number of units ? that maximizes the revenue ?. What is the maximum revenue?

SOLUTION: 200 units, $4,000.00

  1. Find the derivatives of the two functions. ? = 6?3?2−1 and ? = 8?3?−?  

SOLUTION: ?′ = 36??3?2−1 and ?′ = 8?2?−?(3−?)

  1. A piece of ancient charcoal contains only 17% as much of the radioactive carbon as a piece of modern charcoal.

How long ago was the tree burned to make the ancient charcoal? (The half-life of 14C is 5715 years.)

SOLUTION: 14,610 years

Math   Advanced-Math   
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