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# Many biological populations can be modeled by f(t)=f(0)esin

ct, where f(0) is the size of the population when t=0. Suppose that f(0)=900 and c=4. Find the maximum and minimum values of f(t) and the values of t where they occur.

Find the maximum value(s) of f(t) and the value(s) of t where they occur. Select the correct answers below and, if necessary, fill in the answer boxes to the complete the correct choice.

**A. **The maximum value of f(t) is _______, which on the interval 0≤t<2π occurs at t=_________

(Type exact answers, using π as needed. Use a comma to separate answers as needed.)

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