When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium population continues to grow for a while, but then stops growing and begins to decline. the size of the population at time t (hours) is b equals 8 superscript 5 baseline plus 8 superscript 4 baseline t minus 8 cubed t squared .b=85+84t−83t2. find the growth rates at t equals 0 hours commat=0 hours, t equals 4 hours commat=4 hours, and t equals 8 hours.

The growth rates at t=0, t=4 and t=8 hours are 4096, 0 and -4096 respectively.

Step-by-step explanation:

Consider the provided function.

Now we need to find the growth rates at t=0, t=4 and t=8 hours.

Differentiate the above function.

First substitute t=0 in above function.

Substitute t=4 in above function.

Substitute t=8 in above function.

Hence, the growth rates at t=0, t=4 and t=8 hours are 4096, 0 and -4096 respectively.

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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