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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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.