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6.The number of books in a small library increases according to the function B(t) = 2800 e 0.03t , where t is measured in years.

6.The number of books in a small library increases according to the function B(t) = 2800 e ^0.03t, where t is measured in years.

a) Determine the number of book at t=0 years.

b) What is the growth rate of the books?

c) What is the number of books after 10 years?

d) When will the number of books reach 3500?

e) When will the number of books double?

Please explain the detail.

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