A 5-year projection of population trends suggests that t years from now, the population of  a certain community will be  P(t) =-t 3 +9t2 + 48t +50 thousand.  

a. At what time during the 5-year period will the population be growing most rapidly?  

b. At what time during the 5-year period will the population be growing least rapidly? 

c. At what time is the rate of population growth changing most rapidly?

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Step 1 of 6 A It is given that P1 r ... View the full answer