After t minutes of growth, a certain culture has a mass in grams of M(t)=2^t
a) what is the average rate of growth during the time interval 3 ≤t≤3.00
Is the answer 5.547...?

Question

After t minutes of growth, a certain culture has a mass in grams of M(t)=2^t 
a) what is the average rate of growth during the time interval 3 ≤t≤3.00   
Is the answer 5.547...?

anonymous · Answer

i think there may be a typo here, since $3=3.00$

anonymous · Answer

it cant really say $3\leq t\leq 3.00$ right? that doesn't make sense

anonymous · Answer

unless it is asking for the instantaneous rate of change, rather than the average rate of change, in which case the answer would be $8\ln(2)$

buggiethebug · Answer

i meant 3.001

buggiethebug · Answer

from  3 ≤t≤3.001 sorry about the error

anonymous · Answer

Hint: $$\frac{d}{dt} a^t = (\ln a) \cdot a^t$$

buggiethebug · Answer

cant use derivatives... i just want to know if my answer is correct.