Help applied probem - max & min

  • Thread starter Thread starter ayrestaurant
  • Start date Start date
  • Tags Tags
    Applied Max
Click For Summary

Homework Help Overview

The problem involves determining the maximum number of bacteria in a colony after introducing a drug that stimulates reproduction, represented by the function N(t) = 1500 + 12t² - t³, within the interval 0≤t≤50.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss differentiating the function N(t) and setting the derivative to zero to find critical points. Others suggest evaluating the function at specific time values to compare results.

Discussion Status

The discussion includes various approaches to finding the maximum value of the function, with some participants providing guidance on differentiation and evaluation methods. There is no explicit consensus on the best approach yet.

Contextual Notes

Participants are working within the constraints of a homework assignment, seeking assistance without direct solutions. The original poster requests steps to solve the problem.

ayrestaurant
Messages
6
Reaction score
0
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!
 
Physics news on Phys.org
Differentiatr N(t), set it equal to zero and find trhe value of t.
 
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...
 
thanx!
 

Similar threads

In 2 consecutive decays, determine max and min energies for a particle
  • · Replies 1 ·
Replies
1
Views
2K
How to Determine the Max and Min Volume of a Box Using Lagrange Multipliers?
  • · Replies 2 ·
Replies
2
Views
4K
The Circle and the Square - How do I get a max value from a min value problem?
  • · Replies 7 ·
Replies
7
Views
10K
Programs How good is this applied math program?
  • · Replies 13 ·
Replies
13
Views
4K
Challenge Math Challenge - November 2018
  • · Replies 175 ·
6
Replies
175
Views
28K
Graduate Diffusion-type equations with Crank-Nicolson method
  • · Replies 0 ·
Replies
0
Views
7K
Undergrad Analyzing the Relationship Between GPA & TV Hours & Solving Real-World Problems
  • · Replies 2 ·
Replies
2
Views
3K
Challenge Math Challenge - August 2021
  • · Replies 46 ·
2
Replies
46
Views
9K
Replacing UPS Batteries with Marine/RV Batteries
  • · Replies 56 ·
2
Replies
56
Views
54K
Graduate An Alternative Model of the Double Slit Interference Experiment
  • · Replies 24 ·
Replies
24
Views
25K