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...

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Basic 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 arate proportional to its size. After 22 hours there will be16401640 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 growthrate.
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? Giveyour answer accurate to at least 2 decimal places.
hours

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