Looking for something else?

Not the answer you are looking for? Search for more explanations.

- anonymous

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)

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions.

Get your **free** account and access **expert** answers to this and **thousands** of other questions

- anonymous

- chestercat

See more answers at brainly.com

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- dumbcow

you 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

I got the same answer on my test, thanks for clarifying!

Looking for something else?

Not the answer you are looking for? Search for more explanations.