35 2000tThefunction p(t) =gives the population p of deer in an area after t months.4t+75a) Find p'(9), p'(45), and p'(90).b) Find p''(9), p''(45), and p''(90).c) Interpret the meaning of your answers to part (a) and (b). What is happening to the population of deer in the long term?a) p'(9) =(Type an integer or decimal rounded to three decimal places as needed.)p'(45)=(Type an integer or decimal rounded to three decimal places as needed.)p'(90) =(Type an integer or decimal rounded to three decimal places as needed.)b) p''(9) =(Type an integer or decimal rounded to three decimal places as needed.)p''(45)=(Type an intethree decimal places as needed.)p'' (90)=(Type an intemonths.three decimal places as needed.)c) What is thefrom parts (a) and (b)?deer/month².OA. The plthe rate of decline is slowing down.deer.he rate of growth is slowing down.OB. The pOC. The pdeer/month.1.steady rate.O D. The pO E. The population is shrinking, and the rate of decline is increasing.O F. The population is growing, and the rate of growth is increasing.OG. The population is growing at a steady rate.What is happening to the population of deer in the long term? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The population of deer continues to grow without bound.and then starts to decrease.OB. The population of deer reaches a maximum ofOC. The population of deer approaches a maximum of 2000tThefunction p(t) =gives the population p of deer in an area after t months.4t+75a) Find p'(9), p'(45), and p'(90).b) Find p''(9), p''(45), and p''(90).c) Interpret the meaning of your answers to part (a) and (b). What is happening to the population of deer in the long term?(...)a) p'(9) =(Type an integer or decimal rounded to three decimal places as needed.)p'(45)=(Type an integer or decimal rounded to three decimal places as needed.)p'(90) =(Type an integer or decimal rounded to three decimal places as needed.)b) p''(9) =(Type an integree decimal places as needed.)p'(45)=(Type an integmonths.ree decimal places as needed.)p'' (90) =(Type an integdeer/month²ree decimal places as needed.)c) What is thedeer/month.om parts (a) and (b)?O A. The podeer.he rate of decline is slowing down.OB. The popurua gromny, but e rate of growth is slowing down.OC. The population is holding steady.O D. The population is shrinking at a steady rate.O E. The population is shrinking, and the rate of decline is increasing.O F. The population is growing, and the rate of growth is increasing.O G. The population is growing at a steady rate.What is happening to the population of deer in the long term? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The population of deer continues to grow without bound.OB. The population of deer reaches a maximum of and then starts to decrease.OC. The population of deer approaches a maximum of

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