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The US Geological Survey Estimates That the Normal Stream Flow of of the Potomac

Question 88

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The U.S. Geological Survey estimates that the normal stream flow of the Potomac River (in millions of gallons per day) is given by the function f(t)=4200+3000cos(π6t+5π12)f ( t ) = 4200 + 3000 \cos \left( \frac { \pi } { 6 } t + \frac { 5 \pi } { 12 } \right) where t denotes the number of months after January 1. Determine the maximum and minimum daily stream flows of the Potomac River. Enter your answer exactly as a, b where a represents the maximum and b represents the minimum,both integers separated by a comma, no units or words.

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