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Help! applied probem - max & min

  • #1
1. A drug that stimulates reproduction is introduced into a colony of bacteria. After t minutes, the number of bacteria is given approximately by N() = 1500 + 12t^2 - t^3, 0≤t≤50 At what value of t is the number of bacteria maximal?



2. Possible answers

a. 10min b. 9min c.8min d.0min


provide steps plz :D

thnx!!

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
hunt_mat
Homework Helper
1,741
25
Differentiatr N(t), set it equal to zero and find trhe value of t.
 
  • #3
And even if you didn't know how to do what hunt_mat suggested you could simply plug in the values and compare what you get...
 
  • #4
thanx!
 

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