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At time t = 0  a bacterial culture weighs 1 gram. Two hours later, the culture weighs...

At time t = 0  a bacterial culture weighs 1 gram. Two hours later, the culture weighs 4 grams. The maximum weight of the culture is 20 grams.  Find the culture’s weight after 4 hours.  

  1. Write the general form of equation for number of bacteria at time t with constants.

  2. Applying initial condition, what is the value of b.

  3. Applying next condition, what is the value of k?

  4. Find the culture’s weight after 4 hours.

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