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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 Express the instantaneous growth rate for Georgia as a function. (interpretation) a. Augua The instantaneaus P'C) dt 9rowth rate For Creorgia = is decreaSingb. What is the instantaneous growth rate for Georgia in 1997? (calculation) at a rate OF -0.54, while is increasing from o to l0. dc-o.27+l01t +7055) dPCt Ocons A GEORGIA O.544 t IO1 - o.27(2)+ +101C)= 1995,+-0 += 1997-1995 =2 P'C2)=0.54 (2)+l01-.12 peopleyear thousand When is the population of Georgia increasing and decreasing? Show all work! (calculation) C. P'TIO.S4+ 101 Pis increasi ns when x)> O is decreasing whan P' O Critica Points The Populotion of Georgia 10s increasing - o.54++ 101=0 - o.54t=-10 O.544= 10 14.04 10 PI(-10 10o4 ) pl (0)101 ( Notin interval +=0to += 10 in P'(I)95.6 thousands d. Is there peak of population? Show work!.(analysis) from In the interval Givern, e Can Sa2 that 19as to the pear population is at t10 or 2005. AHthough uie can seRom pui in 2005 Et-0tot-10) Ouiffeveat tvaues to pC that the Vate of pouiaton e. Show there is a peak of population in Georgia using Rolle's Theorem. (theorization) wth ir is continuous on the CIOsed interva differentiabie on the open interval co(0) POpuiafion Rnctianthis mamLer att is highe than when Other tvaues o1,23 AFOAN are pugged in l o10 and decceasing tha poputation is at feak in 2005. When to is (1ugsed into its

The population of the state of Georgia (in thousands) from 1995 to 2005 is modeled by the polynomial p(t) -0.27t2 101t + 7055 Express the instantaneous growth rate for Georgia as a function. (interpretation) a. Augua The instantaneaus P'C) dt 9rowth rate For Creorgia = is decreaSingb. What is the instantaneous growth rate for Georgia in 1997? (calculation) at a rate OF -0.54, while is increasing from o to l0. dc-o.27+l01t +7055) dPCt Ocons A GEORGIA O.544 t IO1 - o.27(2)+ +101C)= 1995,+-0 += 1997-1995 =2 P'C2)=0.54 (2)+l01-.12 peopleyear thousand When is the population of Georgia increasing and decreasing? Show all work! (calculation) C. P'TIO.S4+ 101 Pis increasi ns when x)> O is decreasing whan P' O Critica Points The Populotion of Georgia 10s increasing - o.54++ 101=0 - o.54t=-10 O.544= 10 14.04 10 PI(-10 10o4 ) pl (0)101 ( Notin interval +=0to += 10 in P'(I)95.6 thousands d. Is there peak of population? Show work!.(analysis) from In the interval Givern, e Can Sa2 that 19as to the pear population is at t10 or 2005. AHthough uie can seRom pui in 2005 Et-0tot-10) Ouiffeveat tvaues to pC that the Vate of pouiaton e. Show there is a peak of population in Georgia using Rolle's Theorem. (theorization) wth ir is continuous on the CIOsed interva differentiabie on the open interval co(0) POpuiafion Rnctianthis mamLer att is highe than when Other tvaues o1,23 AFOAN are pugged in l o10 and decceasing tha poputation is at feak in 2005. When to is (1ugsed into its

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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Please help with letters d and e. I am slightly confused because for e, although the peak should be at time t = 187.04 that is not in the domain (t=0 to 10 years). Please explain with a lot of detail and show all work. Thank you. 

The population of the state of Georgia (in thousands) from 1995 to 2005 is modeled by the polynomial p(t) -0.27t2 101t + 7055 Express the instantaneous growth rate for Georgia as a function. (interpretation) a. Augua The instantaneaus P'C) dt 9rowth rate For Creorgia = is decreaSingb. What is the instantaneous growth rate for Georgia in 1997? (calculation) at a rate OF -0.54, while is increasing from o to l0. dc-o.27+l01t +7055) dPCt Ocons A GEORGIA O.544 t IO1 - o.27(2)+ +101C)= 1995,+-0 += 1997-1995 =2 P'C2)=0.54 (2)+l01-.12 peopleyear thousand When is the population of Georgia increasing and decreasing? Show all work! (calculation) C. P'TIO.S4+ 101 Pis increasi ns when x)> O is decreasing whan P' O Critica Points The Populotion of Georgia 10s increasing - o.54++ 101=0 - o.54t=-10 O.544= 10 14.04 10 PI(-10 10o4 ) pl (0)101 ( Notin interval +=0to += 10 in P'(I)95.6 thousands d. Is there peak of population? Show work!.(analysis) from In the interval Givern, e Can Sa2 that 19as to the pear population is at t10 or 2005. AHthough uie can seRom pui in 2005 Et-0tot-10) Ouiffeveat tvaues to pC that the Vate of pouiaton e. Show there is a peak of population in Georgia using Rolle's Theorem. (theorization) wth ir is continuous on the CIOsed interva differentiabie on the open interval co(0) POpuiafion Rnctianthis mamLer att is highe than when Other tvaues o1,23 AFOAN are pugged in l o10 and decceasing tha poputation is at feak in 2005. When to is (1ugsed into its
Transcribed Image Text:The population of the state of Georgia (in thousands) from 1995 to 2005 is modeled by the polynomial p(t) -0.27t2 101t + 7055 Express the instantaneous growth rate for Georgia as a function. (interpretation) a. Augua The instantaneaus P'C) dt 9rowth rate For Creorgia = is decreaSingb. What is the instantaneous growth rate for Georgia in 1997? (calculation) at a rate OF -0.54, while is increasing from o to l0. dc-o.27+l01t +7055) dPCt Ocons A GEORGIA O.544 t IO1 - o.27(2)+ +101C)= 1995,+-0 += 1997-1995 =2 P'C2)=0.54 (2)+l01-.12 peopleyear thousand When is the population of Georgia increasing and decreasing? Show all work! (calculation) C. P'TIO.S4+ 101 Pis increasi ns when x)> O is decreasing whan P' O Critica Points The Populotion of Georgia 10s increasing - o.54++ 101=0 - o.54t=-10 O.544= 10 14.04 10 PI(-10 10o4 ) pl (0)101 ( Notin interval +=0to += 10 in P'(I)95.6 thousands d. Is there peak of population? Show work!.(analysis) from In the interval Givern, e Can Sa2 that 19as to the pear population is at t10 or 2005. AHthough uie can seRom pui in 2005 Et-0tot-10) Ouiffeveat tvaues to pC that the Vate of pouiaton e. Show there is a peak of population in Georgia using Rolle's Theorem. (theorization) wth ir is continuous on the CIOsed interva differentiabie on the open interval co(0) POpuiafion Rnctianthis mamLer att is highe than when Other tvaues o1,23 AFOAN are pugged in l o10 and decceasing tha poputation is at feak in 2005. When to is (1ugsed into its
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