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Need Help? Need Help? E Read lt ReadTailk to a Tutor Talktoa Tutor | Answers TanApCaic9 3.1.068 My Notes Ask Your A study prepared for a Sunbelt town's chamber of commerce projected that the town's population in the next 3 years will grow according to the rule P(t) = 49,000 + 20t3/2 + 19t where P(t) denotes the population t monthä from now. How fast will the population be increasing 9 months and 16 months from now? 9 months X people/month X people/month 16 months Need Help? Talk to a Tutor Submit Answer Save Progress

Explanation / Answer

P(t) = 49000 + 20 * t^(3/2) + 19t

P'(t) = 20 * (3/2) * t^(3/2 -1) + 19

= 20 * 3/2 * t^(1/2) + 19

= 30 * t^(1/2) + 19

P'(9) = 30 * 9^(1/2) + 19

= 30 * 3 + 19

= 109

P'(16) = 30 * 16^(1/2) + 19

= 30 * 4 + 19

= 139

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