The population of the state of Georgia (in thousands) from 1995 to 2005 ismodeled by the polynomial p(t) =-0.27t2 + 101t + 7055Aa.Express the instantaneous growth rate for Georgia as a function.(interpretation)OoslgGEORGIAFeurb. What is the instantaneous growth rate for Georgia in 1997? (calculation)C.When is the population of Georgia increasing and decreasing? Show all work! (calculation)Is there peak of population? Show work!.(analysis)d.e. Show there is a peak of population in Georgia using Rolle's Theorem. (theorization)

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Asked Nov 25, 2019
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Please answer questions a, b, and c. 

The population of the state of Georgia (in thousands) from 1995 to 2005 is
modeled by the polynomial p(t) =-0.27t2 + 101t + 7055
A
a.
Express the instantaneous growth rate for Georgia as a function.
(interpretation)
Ooslg
GEORGIA
Feur
b. What is the instantaneous growth rate for Georgia in 1997? (calculation)
C.
When is the population of Georgia increasing and decreasing? Show all work! (calculation)
Is there peak of population? Show work!.(analysis)
d.
e. Show there is a peak of population in Georgia using Rolle's Theorem. (theorization)
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The population of the state of Georgia (in thousands) from 1995 to 2005 is modeled by the polynomial p(t) =-0.27t2 + 101t + 7055 A a. Express the instantaneous growth rate for Georgia as a function. (interpretation) Ooslg GEORGIA Feur b. What is the instantaneous growth rate for Georgia in 1997? (calculation) C. When is the population of Georgia increasing and decreasing? Show all work! (calculation) Is there peak of population? Show work!.(analysis) d. e. Show there is a peak of population in Georgia using Rolle's Theorem. (theorization)

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Expert Answer

Step 1

Given,

           The population of the state of Georgia (in thousands) from 1995 to 2005 is modelled by the polynomial p(t) = -0.27t2 + 101t + 7055.

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The instantaneous growth rate for Georgia is given by p'(t). dp(t) p'(t) dt d (0.27t2101t + 7055) dt 0.27(2)t101(1) 0.54t 101 It means the instantaneous growth rate for Georgia is decreasing at the rate -0.54 for increasing value of t from 0 to 10

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Step 2

Part b

Taking 1995 as t = 0 then

For 1997, t = 1997...

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So, p'(2) 0.54(2) 101 = 99.92

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