A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
The initial size of a bacteria culture is 800. After 4h there are 7200 bacteria. Using Ce^kt, the simplified equation is y = 800(9)^t/4 Find the rate of growth after 6h. (I am sure that you have to find the derivative and sub 6 for t, I just don't know how)
anonymous
 5 years ago
The initial size of a bacteria culture is 800. After 4h there are 7200 bacteria. Using Ce^kt, the simplified equation is y = 800(9)^t/4 Find the rate of growth after 6h. (I am sure that you have to find the derivative and sub 6 for t, I just don't know how)

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you are correct to find the rate at t=6 you need differentiate the function and evaluate at t=6. to find the derivative you need to know the chain rule and the derivative of the form a^x d/dx a^x = ln(a)*a^x chain rule says take derivative of outer function times derivative of inner function. outer = 800*9^u where u = x/4 this is the inner function derivative of outer is 800*ln(9)*9^u derivative of inner is 1/4 put them together => (1/4)*800*ln(9)*9^(x/4) Now plug in x=6 =>(1/4)*800*ln(9)*9^(6/4) => i get an answer of 11865.01 Hope this helps

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I got the same answer on my test, thanks for clarifying!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.