In: Math
1)For the function f(x)=6x^2−2x, evaluate and simplify.
f(x+h)−f(x)/h
2)Evaluate the limit: limx→−6 if x^2+5x−6/x+6
3)A bacteria culture starts with 820820 bacteria and grows at a
rate proportional to its size. After 22 hours there will be
16401640 bacteria.
(a) Express the population PP after tt hours as a function of tt.
Be sure to keep at least 4 significant figures on the growth
rate.
P(t)P(t)=
(b) What will be the population after 8 hours?
bacteria
(c) How long will it take for the population to reach 2450? Give
your answer accurate to at least 2 decimal places.
hours