The population of a certain state​ (in thousands) from 1995 ​(tequals ​0) to 2005 ​(tequals ​10) is modeled by the polynomial ​p(t)equals minus0.36tsquaredplus104tplus6612 . a. Determine the average growth rate from 1995 to 2005 . b. What was the growth rate for this state in 1998 ​(tequals 3​) and 2005 ​(tequals ​10)? c. Use a graphing utility to graph p prime for 0less than or equals tless than or equals10. What does this graph tell you about population growth in this state during the period of time from 1995 to 2005 ​?

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