Finding when bacteria population is maximal with N(t) = 1500 + 12t² - t³

[ayrestaurant]

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 please :D

thnx!

 

[hunt_mat]

Differentiatr N(t), set it equal to zero and find trhe value of t.

 

[iamalexalright]

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...

 

[ayrestaurant]

thanx!