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Solve the given problem...

Solve the given problem related to population growth.The number of bacteria

N(t)

present in a culture at time t hours is given by

N(t) = 2900(2)t.

Find the number of bacteria when

t = 0 hours

and

t = 6 hours.

(a) t = 0 hours

bacteria(b) t = 6 hours

bacteria

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A cup of coffee is heated to 180°F and placed in a room that maintains a temperature of 80°F. The temperature of the coffee after t minutes is given by

T(t) = 80 + 115e−0.042t.

(a) Find the temperature, to the nearest degree, of the coffee 30 minutes after it is placed in the room.

°F(b) Determine when, to the nearest tenth of a minute, the temperature of the coffee will reach 160°F.

min

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